cigarette lighter vs cigar lighter

cigarette lighter and cigar lighter both are nouns.

Word	Noun	Adjective	Verb	Adverb
cigarette lighter	Yes	No	No	No
cigar lighter	Yes	No	No	No

As nouns, cigarette lighter and cigar lighter are synonyms defined as:

Other synonyms of cigarette lighter include pocket lighter.

cigarette lighter (noun)	cigar lighter (noun)
a lighter for cigars or cigarettes	a lighter for cigars or cigarettes