Dress with a certain appeal, primarily round India (4)
I believe the answer is:
sari
'dress' is the definition.
(I know that sari is a type of dress)
'a certain appeal primarily round india' is the wordplay.
'a certain appeal' becomes 'SA' (sex appeal).
'primarily' indicates taking the first letters.
The first letters of 'round india' is 'ri'.
'sa'+'ri'='SARI'
'with' is the link.
(Other definitions for sari that I've seen before include "Hindu female garment" , "Indian robe" , "habit" , "Something worn" , "Traditional dress of Indian women" .)