UL standards for wood lighting fixture?

you should be able to use wood. Like the previous post mentioned, you have to use the correct UL approved wire. You are never going to get a straight answer from anyone, including UL, until you test it. In the end they may require you to have certain wire ways that protect the wire…for instance a threaded rode that creates the wire way. It all depends on each individual design, light source, and components used.