What are the different ways to say "Chapter" in Chinese?
There are a quite few ways to denote a chapter in Chinese. Some of the most commonly seen are:

章, 卷, 回, 篇.

If you wish, you can easily find examples of their usages here: "www.shuku.net". For your convenience, here are some links.

章: 
http://www.shuku.net:8080/novels/classic/zhongyong.html

卷:
http://www.shuku.net:8080/novels/history/csdsgz/sgz.html

Because I need at least 10 reputation points to post more than 2 links, I cannot link examples of others.