pool cue vs cue stick

pool cue and cue stick both are nouns.

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

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

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

Other synonyms of pool cue include cue, pool stick.

pool cue (noun)	cue stick (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