Economical fur, perhaps, for the girl (6)
I believe the answer is:
frugal
'economical' is the definition.
('frugal' can be a synonym of 'economical')
'fur perhaps for the girl' is the wordplay.
'perhaps' indicates an anagram.
'for' says to put letters next to each other.
'the girl' becomes 'gal' ('gal' can be a synonym of 'girl'**).
'fur' is an anagram of 'fru'.
'fru'+'gal'='FRUGAL'
(Other definitions for frugal that I've seen before include "Lag fur to be thrifty" , "not extravagant" , "not expensive" , "Economical and careful" , "Taking care" .)