Crossword Genius

Spooner's dry grass, territory that would do for dog (9)

Ross

I believe the answer is:

greyhound

'dog' is the definition.
(greyhound is a kind of dog)

I don't understand the remainder of the clue.

(Other definitions for greyhound that I've seen before include "Speedy dog" , "Swift breed of dog" , "Fast-moving dog" , "Want to bet on it?" , "slender runner?" .)

I've seen this clue in The Times.
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