Live, fresh clams would ideally be used the same day that they are purchased, but they can last in the refrigerator for about one to two days. Clams must remain alive until cooked.   Store the fresh clams on a bed of ice (with some ice on top as well) in a colander inside of a bowl, uncovered. (See photo above for reference.) Some people say to cover the clams with a damp cloth or paper towel, but I have never done this.   You can also store them in a netted or perforated bag in the back of your refrigerator (the coldest part of the fridge away from the door). Never store them in close plastic as they will suffocate and die.