Tail end (4)
I believe the answer is:
stub
'tail end' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for stub that I've seen before include "Small piece, especially of something cut down or worn away" , "Pencil or cigarette end" , "Wee bit of pencil, eg," , "Bust (anag.)" , "Counterfoil of cheque or butt of cigarette" .)