I'll just add a big plug for my favorite substance on earth, merino wool. and in particular, a New Zealand company, Icebreaker. Their stuff is so comfortable, and dries ridiculously fast, but still works well when wet. Usually body heat alone is enough to get it dry.
I have one Icebreaker 200 layer I wear for tramping, then switch it out for something dry in camp. As others have said, tent camping is no different to hanging in this regard (except the added benefit of not being in a puddle and your bed always being dry).