By all means see your doctor. This is what s/he will say: you have a neuropraxia (http://en.wikipedia.org/wiki/Neurapraxia) (s/he might not use that word, unless s/he has the same love of obscure latinate phrasing that I do; she might say something mundane like "pinched nerve", when "neuropraxia" is more accurate and *much* cooler sounding). It will go away in its own time, likely a week or three. Nothing will make it go faster, and your hand will feel weird(er) as the process moves along. (The part where there is "less sensory loss" Whatever; almost everyone I've seen with this, including myself, had fairly significant sensory loss, but the deal is that there is more motor loss than sensory loss, usually).

I know this because it's happened to me, and because I went to school for a long time to learn about it.

ANd the sunscreen stuff, oh *hell* yeah. BTDT ow ow ow ow...bam!ow ow ow.