I am fortunate to have showers at work, but if I didn't I might attempt to take a "shower" in a bathroom stall using a container of water. I've been successful bathing completely on bike tours using a 2 liter plastic bottle with holes poked in the cap using a thumbtack. It's not a lot of water for showering, but it's possible to take a "Navy shower" (wet down, soap up, rinse off). You can even try first it at home in the bath tub. I suppose at work you'd need to keep a small plastic tub to stand in, then dump the water.

I may need to do this if I ever switch jobs. Personally, I really wouldn't like using baby wipes.