I don't do it, but I do run right after work, just before dinner. I find that just wiping the sweat off with a dry washcloth and putting on clean clothes cleans me up just as well as a shower. So if I did run to work, I'd just throw a washcloth and clean change of clothes in my backpack, and feel confidently clean all day.
EDIT: YMMV (I may not sweat as much as some people.)