I do bodyweight chins all the way up and down and as my first exercise in back. I like the feel of it and try to keep it strict. I've gotten stronger in the back, so that's why I keep it in my routine.
Just started to do dips as the final ex. in my chest routine. Not feeling it alot in the chest, even though I'm leaning forward quite alot in the extension, but I do straighten up in the flexion, so maybe that's why. They are a killer though, and I think it's about finding the right grip on the bars. My right wrist hurts a bit when doing them, I don't know why. The bars are at a V angle.
Good luck, mate.