Contrary to popular belief, a high chlorine level will not irritate the eyes. Only two factors are responsible for these irritations:
The use of a non-chlorinated shock treatment will eliminate the chloramines.
Since the pH of your eyes is 7.5, water with a pH different than the pH of your eyes will automatically irritate them. That is why it is so important to keep the pH level of your pool water between 7.2 and 7.8.