Girl's name featuring in collections of stories (4)
I believe the answer is:
anna
'girl's' is the definition.
'name featuring in collections of stories' is the wordplay.
'name' becomes 'n' (common abbreviation e.g. on forms).
'featuring in' is an insertion indicator.
'collections of stories' becomes 'ana' (ana can mean collections of anecdotes or gossip).
'n' inserted within 'ana' is 'ANNA'.
(Other definitions for anna that I've seen before include "Unit of length" , "Former one sixteenth of Rupee" , "Former Indian coin; girl's name" , "worth very little in India" , "-- Wintour, editor" .)