Rubbing eyes...

Ashley

My son is almost 3 months and has started teething as of a week ago. Both fists cramming in mouth and drooling more. Today he started rubbing his eyes, mainly his right. He does it at all times, not just when he's tired. His actual eye doesn't look red or goopy so I don't think an infection, the skin around is a bit red though. Could this be related to teething? Anyone else experiencing this?