Women's penetrating aroma before bit of a kip is not a problem (2,5)
I believe the answer is:
no sweat
'not a problem' is the definition.
('no sweat!' means something's not a problem)
'women's penetrating aroma before bit of a kip' is the wordplay.
'women' becomes 'w' (standard abbreviation).
'penetrating' indicates putting letters inside.
'aroma' becomes 'nose' (I've seen this before).
'before' means one lot of letters go next to another.
'bit of a kip' becomes 'at' ('at' is part of 'kip').
'w' put into 'nose' is 'noswe'.
'noswe'+'at'='NO SWEAT'
'is' is the link.
(Other definitions for no sweat that I've seen before include "That's a piece of cake (anti-perspirant unnecessary!)" , "That's not a problem!" , "in Australia with ease" , "Don't worry" , "easily done" .)