cigar lighter vs cigarette lighter

cigar lighter and cigarette lighter both are nouns.

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

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

Other synonyms of cigar lighter include pocket lighter.

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