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Meaning of mopping-up

mop•ping-up

Pronunciation: (mop'ing-up'), [key]
— adj.
  1. serving to complete or put the finishing touches to a phase of a particular action.
  2. serving to complete a military campaign by killing or capturing any remaining enemy troops: a mopping-up operation.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.