Crossword Genius

Renovated centre of destitute square (5)

Ross

I believe the answer is:

nerdy

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

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for nerdy that I've seen before include "Geeky" , "Bright but socially inept" , "Boringly studious" , "obsessive" .)

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