Chinese criminal gang admitting racket around West Indian island (8)
I believe the answer is:
trinidad
'west indian island' is the definition.
(I've seen this before)
'chinese criminal gang admitting racket around' is the wordplay.
'chinese criminal gang' becomes 'triad' (I can't explain this - if you can you should believe this answer much more).
'admitting' indicates putting letters inside (admit can mean to welcome in or accept).
'racket' becomes 'din' (both can mean a loud noise or disturbance).
'around' is a reversal indicator.
'din' reversed gives 'nid'.
'triad' going around 'nid' is 'TRINIDAD'.
Can you help me to learn more?
(Other definitions for trinidad that I've seen before include "Island linked to Tobago" , "W. I. island" , "Port of Spain island" , "English-speaking island off Venezuela" , "Caribbean island" .)