I sprained my wrist 2 weeks ago (dropped a snatch incorrectly). It sounds very similar to what you describe: I can do pretty much everything, but heavy cleans, snatches, and chinups hurt quite a bit. The pain is most pronounced when I supine my hand - I can grin and bear the pain during 'neutral' grip chins, but regular chinups are unbearable.
In the case of either a sprain or a very minor fracture, I think the only thing to do is train through it as best you are able. The last time I sprained a wrist it took about 2-3 months to feel normal again.
I have been dealing with it in a few ways:
1) I wrapped my wrist during pressing movements.
2) I subbed push presses for heavy presses (lockout didn't hurt at all, but supporting the bar at the bottom was fairly painful).
3) I dropped the weight on cleans and snatches and also did the hang versions of the lifts (this gave me some practice, but was light enough to bear).
4) I subbed a variety of things for chinups: pendlay rows, kroc rows, neutral grip chinups.