Wiktionary
fag end
n. (alt form of fag-end English)
WordNet
Usage examples of "fag end".
It seemed he was in a cell with a couple of lads only a little older than him, there had been some disagreement and a burning fag end had been stubbed out under Joby's eye.
All that was missing was his clip of pens and a fag end dangling from his lip.