sleeve vs cloth covering

sleeve and cloth covering both are nouns.

Word	Noun	Adjective	Verb	Adverb
sleeve	Yes	No	No	No
cloth covering	Yes	No	No	No

As nouns, cloth covering is a hypernym of sleeve; that is, cloth covering is a word with a broader meaning than sleeve:

sleeve: the part of a garment that is attached at the armhole and that provides a cloth covering for the arm
cloth covering: a covering made of cloth

sleeve (noun)	cloth covering (noun)
the part of a garment that is attached at the armhole and that provides a cloth covering for the arm	a covering made of cloth
small case into which an object fits