Crossword Genius

Run drugs deliveries in batches at first (7)

Ross

I believe the answer is:

oversee

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'run' is the definition.
(I've seen this in another clue)

'drugs deliveries in batches at first' is the wordplay.
'drugs' becomes 'ee' (I've seen this in other clues).
'deliveries in batches' becomes 'overs' (I can't justify this - if you can you should believe this answer much more).
'at first' says to put letters next to each other.
'ee' after 'overs' is 'OVERSEE'.

Can you help me to learn more?

(Other definitions for oversee that I've seen before include "Administer" , "Act as tutor" , "Inspect" , "Disregard" , "Supervise, control" .)

I've seen this clue in The Sunday Times.
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