The term 'Bum off of' refers to the act of asking someone for something without offering anything in return. The two crossword solutions for this term are 'CADGE' and 'MOOCH'. CADGE is a verb meaning to ask for something as a favor or to beg, while MOOCH is a verb meaning to ask for something without offering anything in return. Both words are used to describe the same action of asking someone for something without offering anything in return.