Broadcast the stories associated with LOL cat (13)
I believe the answer is:
tortoiseshell
'cat' is the definition.
(tortoiseshell is a kind of cat)
'broadcast the stories associated with lol' is the wordplay.
'broadcast' is an anagram indicator.
'associated with' is a charade indicator (letters next to each other).
'the'+'stories'='thestories'
'thestories' put after 'lol' is 'lolthestories'.
'lolthestories' is an anagram of 'TORTOISESHELL'.
(Other definitions for tortoiseshell that I've seen before include "The case of the slow-moving" , "Domestic cat - or little shoes (anag)" , "Ornamental material" , "Mottled plated ornamental substance" , "Domestic cat mottled in brownish-yellow and black" .)