Story involving British data chart (5)
I believe the answer is:
table
'data chart' is the definition.
'story involving british' is the wordplay.
'story' becomes 'tale' (synonyms).
'involving' means one lot of letters goes inside another.
'british' becomes 'b' (abbreviation e.g. in BBC).
'tale' placed around 'b' is 'TABLE'.
(Other definitions for table that I've seen before include "Flat board on legs" , "Food put on this" , "Flat surface on legs" , "Move; furniture" , "Set of figures in columns" .)