According to the Mayo clinic swimming in clorinated water is a risk factor for dry skin. To me that suggest this might be an issue that's about the bacteria that live on your skin.
https://ubiome.com/ used to provide a skin kit but might not do it anymore (their website currently only shows the gut product).
It might be possible to develop a probiotics solution.
If chlorine is the problem, there are shower filters that take out a lot of the chlorine.
http://showerfilterscompared.net/
As for money, it's a complicated question, since ChristianKl contributed (I didn't know about chlorine as a possible problem) and you'd need to gamble by getting the filter.
If a fliter works and you feel like sending me $100/year, I won't turn it down.
Hi, I'm an entrepreneur looking for a startup idea.
In my experience, the reason most startups fail is because they never actually solve anyone's problem. So I'm cheating and starting out by identifying a specific person with a specific problem.
So I'm asking you, what's the most annoying part of your life/job? Also, how much would you pay for a solution?