Girl's hair giving grief (8)
I believe the answer is:
distress
'grief' is the definition.
(I've seen this before)
'girl's hair' is the wordplay.
'girl's' becomes 'dis'.
'hair' becomes 'tress' (tress is a kind of hair).
'dis'+'tress'='DISTRESS'
'giving' acts as a link.
(Other definitions for distress that I've seen before include "Mayday is such a signal." , "Extreme sorrow or pain" , "Such a signal indicates trouble" , "Sadden" , "Severe pain" .)