I heard the important things are to wash your hands and not touch your face and expecially not your nose, eyes & mouth.
Rubbing my eyes that itch is hard not to do, this time of the year. Due to pollen being produced by all the plants and trees coming out of hibernation.
I've been trying hard not to rub my eyes and am using a tissue or hanky. But it's a habit that's hard to break. Expecially first thing in the morning when you rub the sleep from the corner of your eyes.
I've read "pink eye could be" one of the early indicators of "possible" Chinese COVID-19 infection. But who knows... I read it on the internet which is not trust worthy at all. It was probably some click bait web site.