Islander jiggled about in a bad bra (9)

I believe the answer is:

barbadian

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'islander jiggled' is the definition.
I can't tell whether this definition defines the answer.

'about in a bad bra' is the wordplay.
'about' indicates an anagram.
'in'+'a'+'bad'+'bra'='inabadbra'
'inabadbra' anagrammed gives 'BARBADIAN'.

Can you help me to learn more?

(Other definitions for barbadian that I've seen before include "West Indian" , "from a Caribbean island" , "one from West Indies" .)

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