I have yet to find a Chinese Dumpling restaurant that lives up to my standards. I think that the defining factor of a good dumpling lies in the dumpling wrapper. With that said, I found the Chinese Dumpling House wrappers to be too thick. We had the Pork & Bok Choy Dumplings, steamed. The filling was good. We also ordered the Beef, Shrimp & Egg Fried Rice which was pretty standard. I liked the fact that it wasn't too oily. Nice and light. It came served up with a side of Sweet & Sour Soup, which was a tad on the spicy side for my liking.
The service was terrible. We asked for the bill, and then after 10 minutes of waiting, we asked for it again - she had totally forgotten!
If you can't even get your specialty dish right, you shouldn't call yourself a dumpling house. :p