To pay off a debt in a smaller denomination of currency than the loan was originally made in, thus leaving the creditor with small change where he once had a note.
Often the small change, if accepted by the creditor, disappears on trivial purchases before the full loan is re-paid, meaning he never really recovers the debt's full worth.
Mike: Hey - I told you when I lent you the money that I wouldn't stand chivelling. The smallest I will accept are £10 notes.
Tom: Ok Mike, I'm sorry. I'll never chivel a debt again.