Crossword Genius

Do supervisory duties across the water, we hear (7)

Ross

I believe the answer is:

oversee

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'do supervisory duties across the water we hear' is the definition.
I can't tell whether this definition defines the answer.

'across the water we hear' is the wordplay.
'across' becomes 'over' (synonyms).
'the water' becomes 'sea' (the sea is water).
'we hear' indicates a 'sounds like' (homophone) clue.
'sea' is a homophone of 'see'.
'over'+'see'='OVERSEE'

Can you help me to learn more?

(Other definitions for oversee that I've seen before include "Keep an eye on like foreman" , "take charge" , "Supervise like ganger" , "Be responsible for" , "Supervise, keep an eye on" .)

I've seen this clue in The Irish Independent.
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