The thing is, he's nothing too special from a technical perspective, and unless he gets a late growth-spurt (not impossible, at all), you can see the league's general predilection for lumpish defensive midfielders counting against him.
I don't think he'll make it here, that's one thing I'm fairly sure of, but his Arsenal credentials will probably be enough to get him a move to a top flight club when he does move on. Probably the sort of player a newly promoted side might take a flyer on. At that point, it will be interesting to see how he gets on.