Cheap variety of fur for a girl (6)
I believe the answer is:
frugal
'cheap' is the definition.
(thesaurus)
'variety of fur for a girl' is the wordplay.
'variety of' indicates anagramming the letters.
'for' means one lot of letters go next to another.
'a girl' becomes 'gal' (synonyms).
'fur' with letters rearranged gives 'fru'.
'fru'+'gal'='FRUGAL'
(Other definitions for frugal that I've seen before include "Thrifty - meagre" , "not extravagant" , "Economical with food or money" , "'Sparing, economical (6)'" , "Abstemious" .)