candlewick vs wick

candlewick and wick both are nouns.

Word	Noun	Adjective	Verb	Adverb
candlewick	Yes	No	No	No
wick	Yes	No	No	No

As nouns, wick is a hypernym of candlewick; that is, wick is a word with a broader meaning than candlewick:

candlewick: the wick of a candle
wick: a loosely woven cord (in a candle or oil lamp) that draws fuel by capillary action up into the flame

Other hypernyms of candlewick include taper.

candlewick (noun)	wick (noun)
the wick of a candle	a loosely woven cord (in a candle or oil lamp) that draws fuel by capillary action up into the flame
loops of soft yarn are cut to give a tufted pattern	any piece of cord that conveys liquid by capillary action