I've heard "to light a cigarette" being used a couple of times, but I am still in doubt about two things:
Is this common both in American English and British English?
Are there other ways to say it in American English?
Evidence from Ngram suggests that light a cigarette is equally common in BrE and AmE.
Slang expressions related to smoking:
- (noun, verb) Source: the word spark relates to fire and in this case is simply referring to the small fire produced by a lighter. Meaning: to light (a cigarette). Context: asking someone else to light a cigarette.