dressing vs cloth covering

dressing and cloth covering both are nouns.

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

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

dressing (noun)	cloth covering (noun)
the activity of getting dressed; putting on clothes	a covering made of cloth
the act of applying a bandage
processes in the conversion of rough hides into leather
a cloth covering for a wound or sore
making fertile as by applying fertilizer or manure
savory dressings for salads; basically of two kinds: either the thin French or vinaigrette type or the creamy mayonnaise type
a mixture of seasoned ingredients used to stuff meats and vegetables