Nevophobia

Nevophobia (from Latin naevus, "skin mole") is the fear of moles on skin. Nevophobia is a branch of dermatophobia, which is fear of skin lesions. Moles are small, dark (usually brown) spots on the skin that can be unpleasant looking to some, especially when there are many, which is the prime trigger of nevophobia. Some moles may appear raised, which may make it look even uglier.

They would not look at people's skins as seeing moles may make them dread or even panic in shock but they don't usually flee from it. Nevophobes can look at the skins themselves if there are no moles on them. More severe sufferers would cover all of the skin as they're afraid that moles can appear anywhere at anytime while having moles to be removed by a doctor.