“Throw them away, of course!” would probably be your answer. And that is exactly what most people do. But in some societies, where superstitions are strong, fingernail cuttings are believed to be used by sorcerers for casting evil spells against their owners. Therefore, the cuttings are carefully guarded or hidden.
Another old superstition claims that putting your nail cuttings in the wine of someone you love will attract that person to you.