Any container used to hold liquid (such as a glass, mug, or a cup), that could be potentially used to cum in, that has been cummed in, or is frequently cummed in.
A cum-cup is an 8-ounce plastic/paper cup that a group of guys use when they play "cum-in-a-cup" -- a masturbation game similar to "cum-on-a-cookie." All the guys jack off and shoot their loads into the cup. The last dude to have a cumgasm has to drink all the other guys' cumshots.
Some of our friends came to our pod and we played cum-in-a-cup -- I lost, so I had to drink to drink all the other cadets cum. They gave me the cum-cup to save for next time!