My dad had the same problem... well kinda. He sweated bucketloads on his face and nowhere else really. He had an op for it (cant remember the name, will try and find out) where they cut a nerve or something on both sides of his chest, and now he hardly sweats on his face, and its more evenly spread over the rest of his body. Nobody really minds a sweaty back when working really!
I am the same, sweat buckets when i'm working, but can't have the op. Well, i can, but it involves having your lungs deflated when they do each side, and that would stop me diving, so it's not gonna happen!
Worth asking though, he seemed pretty happy with the results.