Actually the chlorine in a pool is not what aggravates the eyes. It is the PH not being properly balanced. Chlorine is typically at 1.5 to three parts per million of free chlorine which will not even be detected by your nose or your eyes. The PH should be about 7.2. Higher is not too bad and easily corrected with a cup of muratic acid, lower is too acidic and will cause the eyes to burn and requires some alkali added.
If you smell chlorine in a pool what you are smelling is combined chlorine, chlorine that has done it's job and needs to be eliminated. You eliminate this combined chlorine by using a lot of free chlorine, as much as 20 parts per million of unstabilized chlorine. This will oxidize the combined chlorine and will quickly dissipate.
Public pools have a little higher ratio of chlorine but a properly maintained public pool you not be able to smell the chlorine.
Most chlorinated public water systems have more chlorine than your typical home pool.
And to keep it on topic I suspect the Fenix lights are OK in the rain or a drop in a rain puddle. Submerging to 12 feet would put a lot of pressure on the lens, probably as much as 30 pounds. It just isn't worth the risk.