All of my yorkies have always been "eat on the go" pups! In fact, sometimes they'll really get into it and throw a piece of kibble up in the air to catch it or bring it to me to toss (which I then draw the line). I think it is hilarious!!
I wonder if this is a yorkie trait or if other breeds do it too. As long as they are eating enough, I suppose I've never really thought about trying to redirect their eating habits.