Small bit of French story heard (6)
I believe the answer is:
detail
'small bit' is the definition.
(a detail is a small feature or aspect of something)
'of french story heard' is the wordplay.
'of french' becomes 'de' ('of' in French).
'story' becomes 'tale' (synonyms).
'heard' indicates a 'sounds like' (homophone) clue.
'tale' is a homophone of 'tail'.
'de'+'tail'='DETAIL'
(Other definitions for detail that I've seen before include "Select personnel - particular - group of soldiers" , "Particular - military detachment" , "soldiers given a special task" , "Give full info about" , "Small part of the whole" .)