First, decide if you want to remove the skin or leave it on. If you leave the skin on the cucumber it is a good idea to gently scrub it under running water (I like to soak small ones first) to remove debris or anything coating it. How to store cucumbers.  It is best to store your cucumbers in your refrigerator and in a crisper drawer. Whole cucumbers can last for up to two weeks in the refrigerator. However, cucumbers that have been sliced should be consumed within three days