cheesecloth vs gauze

cheesecloth and gauze both are nouns.

Word	Noun	Adjective	Verb	Adverb
cheesecloth	Yes	No	No	No
gauze	Yes	No	No	No

As nouns, gauze is a hypernym of cheesecloth; that is, gauze is a word with a broader meaning than cheesecloth:

cheesecloth: a coarse loosely woven cotton gauze; originally used to wrap cheeses
gauze: a net of transparent fabric with a loose open weave

Other hypernyms of cheesecloth include netting, veiling.

cheesecloth (noun)	gauze (noun)
a coarse loosely woven cotton gauze; originally used to wrap cheeses	a net of transparent fabric with a loose open weave
	(medicine) bleached cotton cloth of plain weave used for bandages and dressings