Little Women’s popular song (4)
I believe the answer is:
whit
'little' is the definition.
(thesaurus)
'women's popular song' is the wordplay.
'women' becomes 'w'.
'popular song' becomes 'hit'.
'w'+'hit'='WHIT'
(Other definitions for whit that I've seen before include "smallest bit imaginable" , "Very small part - Christian festival" , "bit of Sunday?" , "Very small amount" , "Pentecost (abbrev.)" .)