Story written around black board (5)
I believe the answer is:
table
'board' is the definition.
(both can mean food)
'story written around black' is the wordplay.
'story' becomes 'tale' (synonyms).
'written around' is an insertion indicator (some letters go around others).
'black' becomes 'b' (as in pencil classifications).
'tale' enclosing 'b' is 'TABLE'.
(Other definitions for table that I've seen before include "Food - list" , "put forward for consideration" , "Bleat (anag.)" , "Flat surfaced piece of furniture" , "Chart; put forward" .)