Wow, I'm suprised that I'm the only one who regularly uses #5. After getting water spots near the pivot, I always wipe on the palm of my hand. I'll rinse the razor once after the shave and dry it carefully.

But throughout the shave I just wipe on the palm of my hand. I don't even need to rinse it off on the 2nd and third passes, it stays in my hand while I shave, even if I switch hands.