a bundle of coarse yarn, a sponge, or other absorbent material, fastened at the end of a stick or handle for washing floors, dishes, etc.

a thick mass of hair.

a polishing wheel having several layers of cloth secured by a boss.

to rub, wipe, clean, or remove with a mop (often fol. by up )

to mop up a spill.

to wipe as if with a mop

to mop the face with a handkerchief.

to clean or wipe with or as if with a mop (often fol. by up )

First he swept, then he mopped up.

mop up,

Military . to clear (ground, trenches, towns, etc.) of scattered or remaining enemy combatants after attacking forces have conquered the area.

Informal . to dispose of; complete; finish

He mopped up the rest of his business and went on a vacation.

mop the floor with. floor ( def. 20 ) .