Crossword Genius

Greengrocer may give terrier four treats, or not (9)

Ross

I believe the answer is:

fruiterer

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'greengrocer' is the definition.
(I've seen this before)

I can't explain the remainder of the clue.

Can you help me to learn more?

(Other definitions for fruiterer that I've seen before include "Greengrocer" , "Dealer in produce" , "Dealer in apples and pears?" .)

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