hoof vs cloven hoof

hoof and cloven hoof both are nouns.

Word	Noun	Adjective	Verb	Adverb
hoof	Yes	No	Yes	No
cloven hoof	Yes	No	No	No

As nouns, cloven hoof is a hyponym of hoof; that is, cloven hoof is a word with a more specific, narrower meaning than hoof:

hoof: the foot of an ungulate mammal
cloven hoof: a hoof divided into two parts at its distal extremity (as of ruminants or swine)

Other hyponyms of hoof include cloven foot, horse's foot.

hoof (noun)	cloven hoof (noun)
the foot of an ungulate mammal	a hoof divided into two parts at its distal extremity (as of ruminants or swine)
the horny covering of the end of the foot in ungulate mammals	the mark of Satan

hoof (verb)	cloven hoof (verb)
dance in a professional capacity
walk