Moan as row put off another rower (9)

I believe the answer is:

oarswoman

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'another rower' is the definition.
'oarswoman' can be an answer for 'rower' (oarswoman is a kind of rower). I'm unsure of the 'another' bit.

'moan as row put off' is the wordplay.
'put off' is an anagram indicator.
'moan'+'as'+'row'='moanasrow'
'moanasrow' anagrammed gives 'OARSWOMAN'.

Can you help me to learn more?

(Other definitions for oarswoman that I've seen before include "Rower" , "River user" , "Girl having paddle" .)

I've seen this clue in the Sydney Morning Herald.

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