Chewie is just a puppy and to me really is in this type of play. He will probably calm down when older. Has he been fixed? I know some Yorkies can be like that, but with the propper training learn quickly.
When my Suzi is very excited, she too is quite the monkey. But, She is a cuddle bug too when she is calmer.
Make sure Chewie is getting a lot of exercise outside and has lots of room to run . Maybe he is overstimulated and needs to get his energy out. Just like kids, they need plenty of time to play and run around.
