you could always get her a little electronic keyboard to play on herself. that way the keys would match her finger size and she could play when you are not (or while you are, if it doesn't bother you too much). my little three year old follows me around everywhere, too. just a minute ago she was under the computer sitting with her box of stickers. now she is terrorizing the cat. she dresses it up, covers it with blankets, and generally distresses it until it bites her. then she cries. she does this over and over. thankfully the cat doesn't sink it's teeth in, just warns her.