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 an anagram.
'for' says to put letters next to each other.
'a girl' becomes 'gal' ('gal' can be a synonym of 'girl').
'fur' anagrammed 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" .)