cue stick vs pool cue

cue stick and pool cue both are nouns.

Word	Noun	Adjective	Verb	Adverb
cue stick	Yes	No	No	No
pool cue	Yes	No	No	No

As nouns, cue stick and pool cue are synonyms defined as:

cue stick and pool cue: sports implement consisting of a tapering rod used to strike a cue ball in pool or billiards

Other synonyms of cue stick include cue, pool stick.

cue stick (noun)	pool cue (noun)
sports implement consisting of a tapering rod used to strike a cue ball in pool or billiards	sports implement consisting of a tapering rod used to strike a cue ball in pool or billiards