shorty
n.— «Oh, and “shorty”? That’s a sad euphemism for a nearly, but not quite, depleted cigarette. This is the saddest sort of smoker’s plea. It is asking, “Can I have the last few puffs of that right down to the filter?”» —“Well Met” by Skot Izzle Pfaff June 12, 2006. (source: Double-Tongued Dictionary)