Yeah, I hate chlorine too, plus it kicks up my asthma a little - not so much as I'd notice otherwise, but if I go pool running before my allergy shot and blow into my peak flow meter, it always shows.
Wet run today. I figured I'd ride to the yoga studio, run from there, do the aerial class and ride home. The radar showed only sprinkles. It started pouring about three minutes after I left on my bike, d'oh. It let up and dried out a little, but by then I was so soaked that I had to borrow a towel from the teacher who fortunately lives in the back of her studio, and my butt was still wet enough to soak through the kite. It seemed to stop raining while class was going on and started up again about two minutes after I started to ride home. Blecch. At least it was warm!