To clean up (liquid) with a mop, rag, sponge, or other cleaning device.
Please mop up the spilled milk.
To fix problems; to correct or repair.
After they argued, it fell to me to talk to her and try to mop up.
To clear the leftovers of a dish, in order to eat them.
To consume or get rid of an excess of something.
To clean up an area destroyed by a natural disaster or by violent activity.
My parents have volunteered to mop up the school hall after the flash flood yesterday.
To finish something off; to apply a finishing touch
To get rid of enemies at a certain area.
To win a competition decisively.