Crossword Genius

Rodents on the rise, over exposed; deny them food (6)

Ross

I believe the answer is:

starve

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'food' is the definition.
(I have seen 'Lack food ' mean 'starve' so perhaps 'food' could also mean 'starve')

'rodents on the rise over exposed' is the wordplay.
'rodents' becomes 'rats' (rat is a kind of rodent).
'on the rise' shows that the letters should be reversed in order.
'exposed' says to take the centre (outside letters removed).
The middle of 'over' is 've'.
'rats' backwards is 'star'.
'star'+'ve'='STARVE'

'deny them' is the link.
This may not be right. Some or all of it may belong to another bit of the clue.

Can you help me to learn more?

(Other definitions for starve that I've seen before include "Suffer from food deprivation" , "Go without food" , "Suffer extreme hunger" , "Suffer from want of food" , "Suffer from lack of food" .)

I've seen this clue in The Hindu.
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