Of we could just let the kids arm get ripped of instead in the name of sport. Im fairly sure you'd be singing a different tune if it was your boy on the other end of that arm bar/chicken wing.
I've witnessed dislocated shoulders and several other injuries as a result of these types of moves. I do tend to be a little more lenient at the high school level about this BUT if you are continually putting that arm into a potentially dangerous situation, then it is your reponsibility to make sure it does not go illegal. There are more moves on top than just arm bars and chicken wings, if you can't turn either of these without doing it dangerously ( because a good majority of wrestlers somehow manage to do it ) then you should probably relearn the move, or try something else.