The gift of tongues was for preaching the gospel, especially in those early days.. and especially at Pentecost as people from all parts of the world had come to visit Jerusalem. It was the perfect moment for the Spirit to come down and witness through Peter, Mary, and the Apostles. But God uses all kinds of means to translate his Word.. even mundane ones.
He certainly doesn't speak in "chicken" or "baby talk" like some Pentecostals. What use is that? None. It's false, and it's only purpose seems to be to the Christian message look insane and stupid. Which is precisely what it does to outsiders almost every time. It inspires no awe, power, or conviction. It makes them laugh at the Church instead. This is hardly God's plan.. to be a laughingstock.
OTOH, there is an ecstatic prayer that, if you were immersed in it deeply, the Spirit would gush forth from you like a well.. and it might very well sound nonsensical. But I assure, it's often your native language the Spirit is speaking through.. if you could just slow down and control it (but you couldn't, if you were ecstatic and overjoyed). This was my first experience with God after believing in Jesus, if you're willing to believe me. I had no idea what it was, other than that I felt like I was involuntarily praising God.. such was the joy of meeting Jesus. It was only later that I read a story of St. Teresa of Avila experiencing the same thing.
"Amongst these favours, at once painful and pleasant, Our Lord sometimes causes in the soul a certain jubilation and a strange and mysterious kind of prayer. If He bestows this grace on you, praise Him fervently for it; I describe it so that you may know that it is something real. I believe that the faculties of the soul are closely united to God but that He leaves them at liberty to rejoice in their happiness together with the senses, although they do not know what they are enjoying nor how they do so. This may sound nonsense but it really happens." - St Teresa
Caveat: I'm actually Orthodox, but Teresa has a soft spot in my heart because she knew this. Take that as you will. I know some charismatic Catholics have latched on to her because of things like this, and they may well be talking of the same experience.. You'll know it when you see it, I suppose. It isn't like those weird people rolling on the floor, acting like animals. God is still a God of order.
As for this happening in any kind of liturgy.. I don't see why. It's a somber occasion, is it not?