Islands emphatically shut up about what some people do there (8)

I believe the answer is:

maldives

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(Other definitions for maldives that I've seen before include "Indian Ocean country, capital Male" , "Indian Ocean archipelago and republic" , "Indian Ocean country of many islands" , "Mad Elvis might be in the islands" , "Mad Elvis is here in the Indian ocean" .)

I've seen this clue in The Guardian.

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