Because milk offers natural antioxidant which helps with preventing oxidation of cholesterol. Meanwhile, we also can get natural antioxidant from fruits and vegetables. Well, drinking milk every night when you go to sleep. Good sleeping can reduce eye irritation and milk will offer some supplements for your eyes when you are sleeping. And the most important factor is that our body can absorb some minerals faster at night. You also can wash face with milk in the morning that can smooth your skin, especially the skin around your eyes. However, this is a slow way to heal irritated eyes. Visiting a doctor should be your best choice. Irritated eyes are related to burning eyes and some other eye problems, so call a doctor for help, then you may recover soon.