puncher vs cattleman

puncher and cattleman both are nouns.

Word	Noun	Adjective	Verb	Adverb
puncher	Yes	No	No	No
cattleman	Yes	No	No	No

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

puncher: a hired hand who tends cattle and performs other duties on horseback
cattleman: a male hired hand who tends cattle and performs other duties on horseback

Other hyponyms of puncher include buckaroo, buckeroo, vaquero, cowgirl, gaucho, horse wrangler, wrangler, roper, cowboy, cowman.

puncher (noun)	cattleman (noun)
a tool for making holes or indentations	a man who raises (or tends) cattle
a hired hand who tends cattle and performs other duties on horseback	a male hired hand who tends cattle and performs other duties on horseback
someone who delivers punches