Well, yes, milk can be good for chlorine eyes. Generally speaking, when you have chlorine eyes, your eyes will be painful and burning. Of course, there are many ways you can just have at try to treat it. For example, you can just apply some milk on your eyes in several days. And it can be effective, for milk contains vitamin and many other healthy ingredients. In that way, it will allow the milk to buffer and dilute the chemical imbalance, or it will hurt your eyes. By the way, a piece of soft cloth should be used. Anyway, you can just have a try.