I am conflicted about Norris' contribution to the team. As pointed out by other posters, Norris plays on the special teams (PP and PK), is good on draws, good goal scorer and decent defensively.
On the flip side, is Norris making his linemates better? If we compare Norris to Stutzle, it is obvious that Timmy creates lots of scoring opportunities and makes his linemates better. I don't see the same from Norris. He may be doing well individually, but as a centerman, he needs to make his linemates better as well.
I'm not a data guru. I would welcome any metrics confirming or contradicting my post.