I keep a gel filled eye mask in the fridge, which is good if your eyes get puffy as well as dark circles, but I guess a couple of slices of cold cucumber would work as well, but eye mask isn't messy.
Take cold cucumber slices directly on your closed eyelids for 10-15 minutes to help reduce the circles under your eyes, or something similarly cold like cold potato slices, chilled tea bags, cold metal spoons, or a bag of frozen peas wrapped in a towel. which helps you to get rid from dark circle under eyes.