Good for you, scotseeker! If you merely stuck your finger in a 5 gal bucket of water, it would take only a few minutes for your body to absorb all the chlorine. If I remember correctly, one can add powered Vitamin C to bathing water to remove or maybe tie up chlorine in bathwater.Lucky for me I have a whole house carbon filtration system followed by a no salt (coconut) water softener. Any water used for drinking goes through another three stage system under my sink. Never trusted municipal water systems so I take precaution. The whole house system is a large one (four foot tall, two tanks). I do believe this is the best route as even taking showers in contaminated water could make you very sick.
It's been a long time since my schooling (Environmental Science and Technology) and courses included much on water systems design and treatment. As far as I was engaged thru work, in any treatment monitoring, I kept abreast of such things. Municipal drinking water treatment had never advanced far into tertiary treatment, to remove complex chemicals...or even perscription drugs people pee out...(Everybody stay calm, there's Prosaic in the water! )