Counsellor this time admitting cut up (9)
I believe the answer is:
therapist
'counsellor' is the definition.
'this time admitting cut up' is the wordplay.
'time' becomes 't'.
'admitting' indicates putting letters inside.
'cut' becomes 'pare' (I've seen this before**).
'up' says the letters should be written in reverse (in down clue: letters go upwards).
'pare' reversed gives 'erap'.
'this'+'t'='thist'
'thist' going around 'erap' is 'THERAPIST'.
(Other definitions for therapist that I've seen before include "Medical practitioner" , "Who can soothe" , "See 21" , "Curative healer" , "Shrink" .)