You searched for: “onychomancy
onychomancy, onycomancy (s) (noun) (no pl)
An ancient type of fortune-telling whereby a person’s future is determined by the appearance of the fingernails themselves: Jeanette learned about onychomancy that prophesied the future by interpreting the symbols reflected by sunlight on an individual's fingernails.

This has become an aspect of cheiromancy.