Short story broadcast: it could be gripping (5)
I believe the answer is:
talon
'it could be gripping' is the definition.
(a talon may grip things)
'short story broadcast' is the wordplay.
'short' means to remove the last letter.
'story' becomes 'tale' (synonyms).
'broadcast' becomes 'on' (I've seen this in other clues).
'tale' with its final letter removed is 'tal'.
'tal'+'on'='TALON'
(Other definitions for talon that I've seen before include "Claw; undealt cards" , "Tonal (anag.)" , "Eagle claw" , "Holding part of flier" , "Large claw" .)