An American woman overseas (6)

I believe the answer is:

abroad

'overseas' is the definition.
(synonyms)

'an american woman' is the wordplay.
'an' becomes 'a'.
'american woman' becomes 'broad'.
'a'+'broad'='ABROAD'

(Other definitions for abroad that I've seen before include "to France, maybe" , "Pole would be so" , "out of UK?" , "In foreign land" , "in Paris, perhaps" .)

I've seen this clue in the Sydney Morning Herald, The Sun and The Times.

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