Over here(Japon) we have a lot of Taiwanese Privet, very white and polishes like horn. It doesnt grow very tall over here and so bow sized pieces are very hard or even rare to find. However, I have made one test bow out of it, very short and narrow with a round belly. I think it 44" long or so and pulled 40#@20", no set. I wish I took pics of that bow, unfortunately it has a new owner now and so I do not remember much more about it....
Great wood though, I think your Chinese privet might be related to our Taiwanese privet if not the same. It should make a good bow, but maybe less extreme designs than what I used would last longer/perform better....
Alex