I have a condition commonly called "old eye" (although I've also heard it referred to as "dry eye".... but I don't know if that is the same). With my eye being drier... the wind can irritate it and cause it to water/tear. This happens while cycling and can also happen just walking on a cold day.
To resolve this I wear contact lens when I bicycle with nice wrap-around cycling glasses in both sunglass green and I have a clear pair for morning/night/gloomy cycling. This keeps my eye moist and the wind off the contact. Works for me. I also think I get better vision with the contacts.... but have also considered Lasik.