The interpretation timeline
Matthew 5:24 Douay-Rheims

Leave there thy offering before the altar, and go first to be reconciled to thy brother: and then coming thou shalt offer thy gift.

A.D. 430 – 1871 6 witnesses

Patristic

before A.D. 750
430
A.D.
Augustine of Hippo Patristic
A.D. 354–430
“(ubi sup.) If this direction be taken literally, it might lead some to suppose that this ought indeed to be so done if our brother is present, for that no long time can be meant when we are bid to leave our offering there before the altar. For if he be absent, or possibly beyond sea, it is absurd to suppose that the offering must be left before the altar; to be offered after we have gone over land and sea to seek him. Wherefore we must embrace an inward, spiritual sense of the whole, if we would understand it without involving any absurdity. The gift which we offer to God, whether learning, or speech, or whatever it be, cannot be accepted of God unless it be supported by faith. If then we have in aught harmed a brother, we must go and be reconciled with him, not with the bodily feet, but in thoughts of the heart, when in humble contrition you may cast yourself at your brother’s feet in sight of Him whose offering you are about to offer. For thus in the same manner as though He were present, you may with unfeigned heart seek His forgiveness; and returning thence, that is, bringing back again your thoughts to what you had first begun to do, may make your offering.”
Source

Scholastic

c. 1100 – 1500
1256
A.D.
Thomas Aquinas Catholic
1225–1274
“"If therefore you offer." Here he forbids inveterate anger, from which hatred is born, and he argues from the greater, according to Rabanus, thus: if it is not lawful for you to be angry with your brother, much more is it not lawful to retain anger, whence hatred is born. Therefore "if you offer," that is, if you propose to offer, "at the altar." This is explained in many ways, according as "altar" is sometimes taken for the material temple, as in Psalm 25:6: "I will wash my hands among the innocent, and I will encompass your altar, O Lord." Sometimes it is taken for Christ; Lamentations 2:7: "The Lord has cast off his altar," that is, Christ, namely in the Passion. Sometimes for the devotion of the heart, and this is the interior temple, according to Augustine. As to the first, "if you offer your gift," that is, your oblation, "at the altar" — the material altar, taken literally; or the gift of a good work, according to the Gloss, "at the altar," that is, Christ. Or, according to Augustine: "your gift," that is, prayers, Psalms, hymns, and the like, "at the altar," that is, in the heart, which is the temple where you are about to offer; and "there," namely in the Church, or in the heart, "you remember that your brother has something against you." This can be understood in two ways, namely concerning the one who injures and the one who is injured. Concerning the one who injures, thus, according to Augustine: "if you remember," that is, if it comes into your mind and to your knowledge, that "your brother," whom you have injured, "has something against you" — namely on account of the disposition of an insult, of bodily injury, of the taking away of temporal goods, of the blackening of reputation — "leave there," namely before the altar, or before God, "your gift, and go": if he is absent, not with the feet of the body, as Augustine says, but you should prostrate yourself in humble mind in the sight of him to whom you are about to offer; if he is present, he must be called back to love, by seeking pardon from him. Or, if "your brother," who injured you, "has something against you," that is, whereby he is set against you, "go to be reconciled to your brother," by giving up your rancor toward him. For from the very fact that, in saying "if your brother has something against you," he does not add "justly," he gives us to understand that even the one to whom the injury was done ought to seek friendship. Hence Chrysostom says: if for the glory of your salvation the Lord commands you to make friendship, much more ought you to ask for it, so that you may attain a double glory: one, because you are innocent; the other, because you asked first. "And then, coming" — as one now pleasing to the Lord, whereas before you did not please him — "you shall offer your gift." Chrysostom: if you have offended in thought, be reconciled in thought; if in words, in words; if in deeds, in deeds. And again: unless you appease by deeds the one whom you have injured by deeds, you pray to the Lord in vain, you give alms in vain from the things by which you have despoiled others. For what does it profit if one man prays to the Lord for you, and another cries out to the Lord against you? Ecclesiasticus 34:23: "The Most High does not approve the gifts of the wicked." And note here four things which are required for the giving or offering: first, cheerfulness of mind; hence he says "if you offer"; Ecclesiasticus 35:11: "In every gift make your countenance cheerful." Second, ownership of the thing; hence he says "your gift"; Proverbs 3:9: "Honor God with your substance." Third, the fitness of the place, "at the altar." Fourth, love of neighbor; hence he says "and you remember"; 1 Corinthians 13:3: "If I distribute all my goods to feed the poor, but have not charity, it profits me nothing." He is foolish who loses an abundance of food for the sake of a penny's worth of salt, that is, of charity, which gives savor and beauty to all things, as gold does to other metals. "Be at agreement with your adversary." Above he forbade having anger, or discord, with one's brothers; here he removes having discord with an adversary, saying "be agreeing," that is, benevolent or kindly — as is gathered from the Greek, as Jerome says — "with your adversary." An objection: the Devil is an adversary; therefore one must agree with him. Response: he speaks of the one who is with us on the way; but the Devil is not on the way, nor can he be, but is in eternal straying from the way; hence "your adversary," according to Chrysostom, means a man who opposes, or literally an enemy; Romans 12:18: "If it be possible, as much as is in you, having peace with all men." "While," that is, until, "you are with him in the way," that is, in the state of meriting; John 9:4: "The time is coming when no one can work." Or our adversary is God, of whom Exodus 23:7 says: "I am the Lord, who am an adversary to the wicked." Or it is the divine word, which is opposed to those willing to sin; 2 Timothy, penultimate chapter, 16: "All Scripture, divinely inspired, is useful for teaching, for reproving." Or it is the remorseful conscience, of which Psalm 49:21 says: "I will reprove you, and set myself against your face." And thus, again, it is explained according to all these ways. Hence, "be agreeing with your adversary," that is, with God, and with the divine word, according to Augustine and Bede, with whom one must agree in the hope of the promise, in the fear of punishment, in the carrying out of the precept, in the avoidance of what is forbidden. "Quickly," that is, without delay; Ecclesiasticus 5:8: "Do not delay to be converted to the Lord." "While you are with him," that is, with him with whom you shall walk rightly "in the way," namely the way of Christ, or of penance, or of the world; Psalm 118:32: "I have run the way of your commandments, when you enlarged my heart." "Lest perhaps he deliver you." According to Augustine, "lest perhaps" means lest it become, as it were by occasion, the cause of your being delivered up. And he says "perhaps," according to the Gloss, lest the place of repentance be taken away. For if the adversary had died before he agreed — or had been well-disposed — it would seem that he would be condemned, were it said simply and without qualification, "lest the adversary" — that is, the divine word, or God, or the remorseful conscience — "deliver you to the judge." The Gloss: into the hands of Christ. John 5:22: "he has given all judgment to the Son." And "the judge" is Christ; Jeremiah 29:23: "I am the judge, and the witness." "Deliver you to the officer": the Gloss says, that is, to the Angel who gathers the tares in order to seize them, below, chapter 13; Psalm 103:4: "who makes his Angels spirits." Or "to the officer," that is, to the Devil, the exactor; Isaiah 14:4: "How has the exactor ceased?" "And you be cast into prison," that is, into the abyss of Hell; Isaiah 24:22: "they shall be shut up in prison"; Revelation 20:3: "he cast him into the abyss, and shut him up." "Amen I say to you," that is, know for certain, that you shall not go out from there, "until" — the Gloss: that is, never. Hence Augustine: "until" does not here signify the end of the punishment, but the continuation of the misery. As if he were to say: you shall always be paying, and never fully pay off; as in Psalm 109:1: "Sit at my right hand, until I make your enemies your footstool," that is, you shall sit forever. "You pay the last farthing," that is, the smallest sins, according to Bede and Rabanus, because nothing will remain unpunished — for the farthing is a kind of coin having two mites. Or, according to Augustine and Jerome, by "farthing" he meant to signify earthly sins: for the last farthing is earth, which is the fourth part of the elements of this world, and the last from fire; as if he were to say: because you were unwilling to be fire through charity, air through the vigor of good work, water through the sanctification of Baptism, but were earthly by clinging to earthly things, you shall not go out from there, because you shall never fully pay off the sins which you contracted from the earth.”

Post-Reformation

c. 1650 – 1900
1771
A.D.
John Gill Reformed
1697–1771
“Leave there thy gift before the altar,.... This might easily be done, and the business soon dispatched, at some seasons; particularly, at their public feasts, as the passover, pentecost, and feast of tabernacles, when all the Israelites were together: and go thy way; make what haste thou canst, first be reconciled to thy brother: use all means to reconcile him; acknowledge the offence; ask his pardon; assure him that thou wishest well to him, and not ill; and then come and offer thy gift, by putting it on the altar, before which it was left. This shows, that acts of love and friendship are preferable to sacrifices; and that sacrifices offered up in wrath, and whilst unreconciled to others, are unacceptable to God, and of no avail: and so much the Jews themselves seem to acknowledge; when they say (e): "that transgressions, which are between a man and God, the day of atonement expiates; the transgressions which are between a man and his neighbour, the day of atonement does not expiate, , "until he hath reconciled his neighbour."'' Which is enlarged upon, and explained by Maimonides (f), after this manner: "the day of atonement does not expiate any transgressions, but those that are between a man and God, as when one eats anything that is forbidden, and lies with anything that is forbidden, or the like; but transgressions which are between a man and his neighbour, as he that hurts his neighbour, or curses his neighbour, or steals from him, and the like, are never forgiven, until he has given his neighbour what he owed him, and has "reconciled" him; yea, though he has returned to him the money he owed him, he ought to "reconcile" him, and desire him to forgive him; yea, even though "he has only provoked him by words", (which is the very case in the text before us,) , "he ought to reconcile him", and to meet him until he forgives him: if his neighbour will not forgive, he must bring with him three of his friends, and meet him, and entreat him; and if he will not be reconciled by them, he must bring them a second, and a third time.'' So that he was to use all means to obtain a reconciliation. (e) Misn. Yoma, c. 8. sect. 9. (f) Hilchot Teshuba, c. 2. sect. 9. Vid. T. Bab. Yoma, fol. 87. 1.”
Source
1849
A.D.
1774–1849
“Leave thy offering. This is not to be understood, as if a man were always bound to go to the person offended; but it is to signify, that a man is bound in his heart and mind to be reconciled, to forgive every one, and seek peace with all men. (Witham) — Beware of coming to the holy table, or to any sacrament, without charity. Be first reconciled to your brother, and much more to the Catholic Church, which is the whole brotherhood of Christian men. (Hebrews xiii. 1.) (Bristow)”
Source
1863
A.D.
1796–1863
“Any offering made to propitiate the Deity was called a gift. It was brought, forward to the altar by the giver, but the oblation was made by the priest.”
1871
A.D.
1871
“Leave there thy gift before the altar, and go thy way; first be reconciled to thy brother--The meaning evidently is--not, "dismiss from thine own breast all ill feeling, "but" get thy brother to dismiss from his mind all grudge against thee." and then come and offer thy gift--"The picture," says THOLUCK," is drawn from life. It transports us to the moment when the Israelite, having brought his sacrifice to the court of the Israelites, awaited the instant when the priest would approach to receive it at his hands. He waits with his gift at the rails which separate the place where he stands from the court of the priests, into which his offering will presently be taken, there to be slain by the priest, and by him presented upon the altar of sacrifice." It is at this solemn moment, when about to cast himself upon divine mercy, and seek in his offering a seal of divine forgiveness, that the offerer is supposed, all at once, to remember that some brother has a just cause of complaint against him through breach of this commandment in one or other of the ways just indicated. What then? Is he to say, As soon as I have offered this gift I will go straight to my brother, and make it up with him? Nay; but before another step is taken--even before the offering is presented--this reconciliation is to be sought, though the gift have to be left unoffered before the altar. The converse of the truth here taught is very strikingly expressed in Mar 11:25-26 : "And when ye stand praying (in the very act), forgive, if ye have aught (of just complaint) against any; that your Father also which is in heaven may forgive you your trespasses. But if ye do not forgive, neither will your Father which is in heaven forgive you," &c. Hence the beautiful practice of the early Church, to see that all differences amongst brethren and sisters in Christ were made up, in the spirit of love, before going to the Holy Communion; and the Church of England has a rubrical direction to this effect in her Communion service. Certainly, if this be the highest act of worship on earth, such reconciliation though obligatory on all other occasions of worship--must be peculiarly so then.”
Source
Modern · 1953 →

The in-app commentary runs from the Fathers to the early-modern record, then stops — that's where the public-domain sources end, not where the reading does. For the modern reading, follow the sources directly.