A common form "what does that have to do with the price of tea in China?", is a retort to an irrelevant suggestion. This facetious usage implies that the topic under discussion might as well be the price of tea in China for all the relevance the speaker's suggestion bears on it.
Suzie: I love my new skirt!
Anne: I know! I love my new shirt!
Beth: Look at this hot guy on my phone!
Suzie: What does that have to do with the price of tea in China?
"What does that have to do with the price of tea in China?" is an expression which denotes that what the other person just said is completely unrelated to the original topic.
Person A: President Bush is the best president EVER!
Person B: No, he's not! He's the worst president!
Person A: Why do you say that?
Person B: Umm, I just bought a guitar.
Person A: Well, what does that have to do with the price of tea in China?
Cigarette: Northern slang for a cigarette, used oft by mashed up mancunian ravers becasue of the resemblance of a hot(electric)stove to the end of a lit cigarette. Originated circa 1991 in the early halcyon days of the rave culture; we speculate during a drug fuelled hallucination by said manc.
'fuck me noel, i am bolloxed, is that a ciggy in your mouth, or the stove from me 'nans kitchen'/
General use: 'Give us a stove you cunt'