Look up some recipes while writing story (4)
I believe the answer is:
epic
'story' is the definition.
(I have seen 'Heroic story' mean 'epic' so perhaps 'story' could also mean 'epic')
'look up some recipes while' is the wordplay.
'look up' says the letters should be written in reverse (I've seen 'looking up' mean this (in a down clue, letters go up)).
'some' indicates a hidden word (some parts of the word are used).
'cipe' is hidden in the letters of 'recipes while'.
'cipe' in reverse letter order is 'EPIC'.
'writing' acts as a link.
(Other definitions for epic that I've seen before include "eg The Iliad" , "Heroic, huge" , "Ben Hur, say" , "Long poem/story" , "Long account" .)