Acne around eyes at 3

Hi, welcome to the ehealth forum and I am glad to help you.
Your concern is regarding the toddler and/or baby acne.
Toddler acne is extremely rare. Though many newborns have minor amounts of reddened blemishes that appear on their faces one to two months after they're born. However, the blemishes are very small, are not often cause for concern and vanish within a few days or weeks. True cases of toddler acne do not happen frequently. Commonly, eczema, or atopic dermatitis can be mistaken for acne. Unlike acne, eczema is usually hereditary and results in outbreaks that occur when the individual comes into contact with something that he is allergic to or that irritates his skin. Eczema outbreaks can be reduced by keeping the toddler away from items that are known to irritate her skin and by having her tested for common food and environmental allergies early.
You didn’t mention the type of skin lesion i.e. whether it is a rash, blemish, pimples etc. You must consult skin specialist i.e. a dermatologist for proper diagnosis as the same cannot be made online without actually having a look at the skin lesions of the toddler.
Hope this helps. Take care.
Note: This answer is not intended as and does not substitute for medical advice - the information presented is for patient education only. Please see your personal physician for further evaluation of your individual case.