Remoteness of girl with attitude (8)
I believe the answer is:
distance
'remoteness' is the definition.
(I've seen this before)
'girl with attitude' is the wordplay.
'girl' becomes 'di'.
'with' means one lot of letters go next to another.
'attitude' becomes 'stance' (stance is a kind of attitude).
'di'+'stance'='DISTANCE'
'of' acts as a link.
(Other definitions for distance that I've seen before include "Aloofness, reserve" , "Full extent of fighting" , "A far-off point" , "The gap between two places" , "Interval between two points" .)