Tongues did not stop during the time Jesus Christ, the Apostles and Prophets were laying down the foundation because the Apostles were still writing the scriptures. Imagine if tongues had stopped in the people who had the gift, others would erroneously believe that God also took salvation away from them, since the Jews believed God accepted Gentiles as was evident by their speaking in words of God in different languages.
However, tongues have since ceased. Jesus, the prophets and the apostles have laid the foundation; the Bible is finished. New prophecies and new knowledge have ceased also, just as the Bible says they would, for you know you cannot add new prophecies and new knowledge to the Bible.
As for the statement in 1 Corinthians 13:10, “but when perfection comes, the imperfect disappears”, nowadays tongue speakers claim that tongue speaking will not cease until Jesus comes again. However, that scripture does not say tongues will not stop until Jesus comes again. That scripture is about Jesus coming the first time.
The prophets in the Old Testament prophesied about Jesus, and prophets in the New Testament prophesied about our salvation. This is what Paul says, “…where there are prophecies, they will cease; where there are tongues, they will be stilled; where there is knowledge, it will pass away. For we know in part and we prophesy in part, but when perfection comes, the imperfect disappears.”
When you only have prophesy in part, because the prophecy has not yet been fulfilled, or more prophecy is needed, it is imperfect, it is imperfect because the prophesy is in “part” or not yet fulfilled. However, when there is fulfillment of prophecy or more prophecy for what we need to know, then we have full understanding, so then, it is perfect and, that which is perfect is come. The Old Testament believers waited a long time for God to reveal Jesus to us, and now finally, from the Bible, we see that God has revealed Jesus, in the New Testament, the perfect has come. The Bible has everything we need to know for salvation. It is perfect. The New Testament is the “perfect law” given to us, James 1:25. The apostles from the New Testament received all the truth we need to guide us to eternal life, and they wrote this down in the Scriptures: John 16:13; 2 Peter 1:3; Acts 20:20, 27; Matthew 28:20; I Corinthians 14:37; 2 Timothy 3:16, 17; Romans 16:25-27.
We do not need anyone's tongue speaking to know more things about God's Truth, we have the Bible, and it is finished.