Method behind story-teller spinning a line (7)
I believe the answer is:
railway
'a line' is the definition.
(railway is a kind of line)
'method behind story-teller spinning' is the wordplay.
'method' becomes 'way' (I've seen this before).
'behind' is a charade indicator (letters next to each other).
'story-teller' becomes 'liar' (I've seen this before).
'spinning' shows that the letters should be reversed in order.
'liar' back-to-front is 'rail'.
'way' put after 'rail' is 'RAILWAY'.
(Other definitions for railway that I've seen before include "Parallel lines" , "Track for locomotives" , "Track system" , "Romney, Hythe & Dymchurch, for example" , "Train system" .)