mop up vs take up

mop up is a noun but take up is not a noun.

Word	Noun	Adjective	Verb	Adverb
mop up	Yes	No	Yes	No
take up	No	No	Yes	No

As verbs, take up is a hypernym of mop up; that is, take up is a word with a broader meaning than mop up:

Other hypernyms of mop up include absorb, draw, imbibe, soak up, sop up, suck, suck up, take in.

mop up (noun)	take up (noun)
a concluding action

mop up (verb)	take up (verb)
finish a task completely	pursue or resume
defeat thoroughly	return to a previous location or condition
to wash or wipe with or as if with a mop	adopt
	take up as if with a sponge
	take out or up with or as if with a scoop
	accept
	take in, also metaphorically
	take up a liquid or a gas either by adsorption or by absorption
	occupy or take on
	take up and practice as one's own
	begin work or acting in a certain capacity, office or job
	turn one's interest to
	take up time or space