He probably wouldn't. Harry'd bring it home as a gift from Charlie, inciting Snape's irritation and secret jealousy. It'd knock over some potions or Snape's favorite mug (it's only a baby dragon) and in a fit of annoyance Snape would zap it with a spell and turn it into a kitchen appliance of questionable necessity (maybe a breadmaker).
now I want to see that in a fic. poor little dragon. Does all the bread come out burnt?