cleanse vs lather

cleanse is not a noun while lather is a noun.

Word	Noun	Adjective	Verb	Adverb
cleanse	No	No	Yes	No
lather	Yes	No	Yes	No

As verbs, lather is a hyponym of cleanse; that is, lather is a word with a more specific, narrower meaning than cleanse:

Other hyponyms of cleanse include bathe, wash, lave, wash, soap, douche, floss, decontaminate.

cleanse (noun)	lather (noun)
	the froth produced by soaps or detergents
	the foam resulting from excessive sweating (as on a horse)
	a workman who puts up laths
	agitation resulting from active worry

cleanse (verb)	lather (verb)
clean one's body or parts thereof, as by washing	rub soap all over, usually with the purpose of cleaning
purge of an ideology, bad thoughts, or sins	exude sweat or lather
	form a lather
	beat severely with a whip or rod