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Run south, back to get in the water for an insect killer (3,7)

Ross

I believe the answer is:

fly swatter

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'an insect killer' is the definition.
The definition suggests a singular noun which matches the answer.

'run south back to get in the water' is the wordplay.
'run south back' becomes 'flys' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'to get in' is an insertion indicator (the word gets some letters inside).
'the' becomes 't' (the is pronounced as a 't' sound in some dialects).
't' placed into 'water' is 'watter'.
'flys'+'watter'='FLY-SWATTER'

'for' is the link.

Can you help me to learn more?

(Other definitions for fly swatter that I've seen before include "For insect repeller" , "Insect killing device" .)

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