That's really good actually--
In that case, when he chews on stuff, I would calmly say "no, yuck" or something like that and then move him to a place where he can chew without attending to him too much during the process. It doesn't seem like he is doing it for attention, but if he were, this would be a poor choice for dealing with the situation, as your picking him up and talking to him could cause him to do it more (for attention). That having been said, it doesn't sound like he is doing it for attention at this point, so it might be worth a shot. If he wants to stay in that location, he may figure out that chewing=being moved away. Just a thought...that is in addition to target training.