Crossword Genius

Prima donna is overly keen (4)

Ross

I believe the answer is:

avid

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'keen' is the definition.
(both can mean enthusiastic)

I cannot understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for avid that I've seen before include "Extremely enthusiastic" , "Fervent" , "Greedy like diva" , "Greedy or eagerly desirous" , "In operation" .)

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