Maybe looking at himself could mean he's insecure and he's trying to reassure himself. I'm not that confident about my looks. I was born with a facial disorder and I felt self conscience about that. Its Waardenburg syndrome. Waardenburg syndrome (WS) is an autosomal dominant disease affecting 1:42,000 births and is characterized by depigmented patches of the skin and hair (partial albinism), blue eyes or heterochromia irides, sensorineural hearing loss Source sciencedirect.com As for you and him its clear to me your uncomfortable with his obcession with his physical appearance. Uncertain if you feel you can talk to him regarding this trait of his. I can see three choices. Talk to him about his narcissism or what ever it is. Ignore him or leave.