polish off vs clear up

polish off and clear up both are verbs.

Word	Noun	Adjective	Verb	Adverb
polish off	No	No	Yes	No
clear up	No	No	Yes	No

As verbs, polish off and clear up are synonyms defined as:

Other synonyms of polish off include finish off, finish up, get through, mop up, wrap up.

polish off (verb)	clear up (verb)
finish a task completely	free (the throat) by making a rasping sound
finish eating all the food on one's plate or on the table	finish a task completely
kill intentionally and with premeditation	make free from confusion or ambiguity; make clear
	make clear and (more) comprehensible
	become clear