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National icon with a mind in flux (9)

Ross

I believe the answer is:

dominican

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'national' is the definition.
The definition and answer can be both people as well as being singular nouns.
Maybe they are linked in a way I don't understand?

'icon with a mind in flux' is the wordplay.
'with' says to put letters next to each other.
'in flux' indicates anagramming the letters (I've seen this in other clues).
'a'+'mind'='amind'
'icon' put after 'amind' is 'amindicon'.
'amindicon' anagrammed gives 'DOMINICAN'.

Can you help me to learn more?

(Other definitions for dominican that I've seen before include "West Indian" , "Republican" , "One working in order" , "See sister" , "- - Republic, West Indies" .)

I've seen this clue in The Sunday Times and The Times.
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