My son always eat his hands all the time and there is a different in his hands sometimes when he is not in good mood ,he started throwing things. HE is turning 8 years in July
With my niece, she does stuff like that, throw her food and sometimes think it's a game. So what I do is take away her food for 2 minutes and then proceed to explain to her it's not nice the throw food and say "are you going to behave?" if she says yes I give her, her food back. (I give it back regardless after the 2 minutes) and sit there with her and watch her eat until she is finished.