16 After this I will return, and will build again the tabernacle of David, which is fallen down; and I will build again the ruins thereof, and I will set it up:
[AD 407] John Chrysostom on Acts 15:16-17
"After this I will return, and will build again the tabernacle of David which is fallen down; and I will build again the ruins thereof, and I will set it up." What? was Jerusalem raised up? Was it not rather thrown down? What sort of raising up does he call that which took place after the return from Babylon? "That the residue of men," he says, "may seek the Lord, even all the Gentiles upon whom My Name is called." Then, what makes his word authoritative: "Saith the Lord, which doeth all these things." But if one would look into the matter closely, the kingdom of David does in fact now stand, his Offspring reigning everywhere. For what is the good of the buildings and the city, with none obeying there? And what is the harm arising from the destruction of the city, when all are willing to give their very souls? There is that come which is more illustrious than David: in all parts of the world is he now sung. This has come to pass: if so, then must this also come to pass, "And I will build again the ruins thereof, and I will set it up:" to what end? "that the residue of men may seek the Lord, and all the Gentiles, upon whom My Name is called." If then it was to this end that the city rose again namely because of Him that was to come of them, it shows that of the building of the city the cause is, the calling of the Gentiles. Who are "the residue?" those who are then left. "And all the Gentiles, upon whom My Name is called:" but observe, how he keeps the due order, and brings them in second.

[AD 444] Cyril of Alexandria on Acts 15:16
The tabernacle of David means the race of the Jews. It must be known that after Cyrus had freed Israel from captivity, they returned to Judea and built the temple of God. Then, after they had again fortified the cities that had been destroyed before, they lived in security day by day for a long time, that is, for many days and long periods. They became an example and an assurance for all the other nations that it was necessary thereafter to turn to God.… This is an explanation of the history of these things, but a more hidden and truer interpretation would be in Christ. Indeed after he came back to life from the dead in his tabernacle that had fallen into death, that is, after God had raised his earthly flesh, then at that very moment he brought all human things back to their original ordering and all our things that had been overthrown have been brought to a new dignity. For if, as Scripture states, anyone in Christ is a new creation, we have then been raised together with him. So whereas death demolished the tabernacles of all, God the Father rebuilt them in Christ.

[AD 735] Bede on Acts 15:16
After this I will return, and build again the tabernacle of David, which is fallen, and the rest. The tabernacle of David signifies the shadow of the law, which was corrupted and torn apart by the traditions of the Pharisees, but when the Lord returns, that is, appears in the flesh, it is raised up by the spiritual grace of God, so that not only Jews but also all nations of the Gentiles may seek his name.