Be fond of story about king (4)
I believe the answer is:
like
'be fond of' is the definition.
(to like something is to be fond of it)
'story about king' is the wordplay.
'story' becomes 'lie' (story can mean a fabrication).
'about' means one lot of letters goes inside another.
'king' becomes 'k' (chess abbreviation).
'lie' enclosing 'k' is 'LIKE'.
(Other definitions for like that I've seen before include "Resembling or similar to" , "One of the same kind" , "Want" , "Relish" , "Care for - much the same" .)