How soon do babies start teething?

My 2 month old has started drooling like crazy, he gnaws on his little fist when he can get it near his mouth, he's clicking his tongue in a way he hasn't done before and his suck feels different now when he latches on.. is it possible he is starting to show signs of teething? This didnt happen with my other 2 kids until they were maybe 3/4months.. curious if this has happened to any of your babies this soon?