Give a long involved story (4)
I believe the answer is:
saga
'long involved story' is the definition.
(I've seen this before)
'give a' is the wordplay.
'give' becomes 'sag' (sag can mean to give way).
'sag'+'a'='SAGA'
(Other definitions for saga that I've seen before include "Medieval Icelandic legend" , "A long adventurous story - it's a gas" , "Long and involved story" , "Old story" , "Body of legend" .)