Yeah, that's similar to the monkey. I guess you could take a stuffed monkey and unstuff it, add some bones, cut away some fur etc....
I was at a Harry Potter outing one time, and I saw a guy with some type of bird that was sitting on his shoulder. It would move its head from side to side, open it's mouth, and flick it's tail. The whole thing was only about 6 inches tall. That would have some possibilities.