I usually don't bother peeling cucumbers for pickling purposes, but there are certain salads (and cocktails) where I prefer the peel be absent. Composting that pile of peels is a fine option, but you can actually use them to make a tasty sandwich spread.
Photo by Max Mallett.
Think of it as a cucumber tea sandwich spread. Just blend half a cup of cream cheese, two teaspoons of Dijon mustard, and two cups of finely chopped rocket for every large cucumber's worth of peel. Salt and pepper to tastes, stir it up real good, and spread on a nice piece of baguette. Top with prosciutto if you're feeling fancy.
Recipe: Cucumber-Peel Sandwich Spread [The Kitchn]