Doh! In the bathroom at work, there are three sinks. I went to use the middle sink (as there was someone on the far left). About the time I realized there was no soap, a girl I knew was about to use the right sink.
Since I knew her I excused myself and leaned over to use the soap dispenser, which was on the right side of that sink. Would have been all well and good except my arm happened to be directly under the faucet, which is a hands free, triggered by motion.
Because my reaction time was too slow, most of my sleeve got completely soaked through.
It was as if I had dunked my arm in a pool of water. Blotting with paper towels did nothing. I was so soaked I actually had to wring my sleeve out.
Note to self: roll sleeves up. So basic, really.