Dress is taken back over a rip primarily (4)
I believe the answer is:
sari
'dress' is the definition.
(I know that sari is a dress)
'is taken back over a rip primarily' is the wordplay.
'taken back' is a reversal indicator.
'over' means one lot of letters goes inside another.
'primarily' says to take the initial letters.
The first letter of 'rip' is 'r'.
'is' reversed gives 'si'.
'a'+'r'='ar'
'si' enclosing 'ar' is 'SARI'.
(Other definitions for sari that I've seen before include "Traditional Indian women's dress" , "Indian robe" , "Eastern garment" , "Hindu female garment" , "Traditional dress of Hindu women" .)