clothes closet vs wardrobe

clothes closet and wardrobe both are nouns.

Word	Noun	Adjective	Verb	Adverb
clothes closet	Yes	No	No	No
wardrobe	Yes	No	No	No

As nouns, wardrobe is a hypernym of clothes closet; that is, wardrobe is a word with a broader meaning than clothes closet:

clothes closet: a closet where clothes are stored
wardrobe: a tall piece of furniture that provides storage space for clothes; has a door and rails or hooks for hanging clothes

Other hypernyms of clothes closet include closet, press.

clothes closet (noun)	wardrobe (noun)
a closet where clothes are stored	a tall piece of furniture that provides storage space for clothes; has a door and rails or hooks for hanging clothes
	collection of clothing belonging to one person
	collection of costumes belonging to a theatrical company