Secret society adopting new identity somewhere in the Caribbean (8)

I believe the answer is:

trinidad

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'somewhere in the caribbean' is the definition.
I can't judge whether this defines the answer.

'secret society adopting new identity' is the wordplay.
'secret society' becomes 'triad' (term for an organised crime group in China).
'adopting' means one lot of letters goes inside another (inserted letters are taken on or adopted).
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'identity' becomes 'id' (abbreviation).
'n'+'id'='nid'
'triad' enclosing 'nid' is 'TRINIDAD'.

Can you help me to learn more?

(Other definitions for trinidad that I've seen before include "Port of Spain island" , "Island linked to Tobago" , "Caribbean island" , "... [WI ISLAND]" , "W. I. island" .)

I've seen this clue in The Times.

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