Backed suggestion about the French hairstyle (5)
I believe the answer is:
plait
'hairstyle' is the definition.
(I know that plait is a hairstyle)
'backed suggestion about the french' is the wordplay.
'backed' shows that the letters should be reversed in order.
'suggestion' becomes 'tip' (tip is a kind of suggestion).
'about' is an insertion indicator.
'the french' becomes 'la' ('the' in French).
'tip' written backwards gives 'pit'.
'pit' enclosing 'la' is 'PLAIT'.
(Other definitions for plait that I've seen before include "Braided tress" , "Hair braid" , "A rope of hair (5)" , "Braided hair" , "Hairdo formed by braiding" .)