What are traditional chinese medicine treatments for chronic muscle pain?

Several. Acupuncture is the most well known based on the flow of energy through the body through what are called meridians. Each of these channels have points close the the skin surface. The basic idea is to help restore normal energy flow which in turn helps the muscle pain. There are also traditional chinese herbs to help restore balance or "harmony" in the body. Diet-try gluten/dairy free for 2 weeks.
Tui-Na. Tui-na is a type of manipulative treatment that can also help with chronic muscle pain.