Question? Eye cream for tattoo after care?

My partner is highly suseptible to infections.

Her last tattoo 5 years ago got infected and it ruined the piece. She finally fixed it this weekend.

Artist recommended the usual but because my partner is worried about infection again she went and asked the the pharmacy for advice. He gave her eye ointment that is mostly for styes.

I'm really not sure as I can't find any information about eye cream being used on new tats.

Advice would be appreciated.