cant hook vs cant dog

cant hook and cant dog both are nouns.

Word	Noun	Adjective	Verb	Adverb
cant hook	Yes	No	No	No
cant dog	Yes	No	No	No

As nouns, cant dog is a hypernym of cant hook; that is, cant dog is a word with a broader meaning than cant hook:

cant hook: a peavey having a hook instead of a spike; used for handling logs
cant dog: a stout lever with a sharp spike; used for handling logs

Other hypernyms of cant hook include dog hook, peavey, peavy.

cant hook (noun)	cant dog (noun)
a peavey having a hook instead of a spike; used for handling logs	a stout lever with a sharp spike; used for handling logs