Regularly visited retired bushman on island (4)

I believe the answer is:

oahu

'island' is the definition.
(island in Hawaii)

I cannot understand how the rest of the clue works.

(Other definitions for oahu that I've seen before include "Hawaiian island" , "popular Pacific location" , "Chief island of Hawaii" , "Pacific island" , "Honolulu's island" .)

I've seen this clue in The Times.

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