Crossword Genius

Noise made by cat's pursuer girl's seen off (4)

Ross

I believe the answer is:

purr

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'noise made by cat's' is the definition.
The definition and answer can be both related to natural events as well as being singular nouns.
I also know that 'cat' relates to this answer.

I cannot understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for purr that I've seen before include "Express pleasure" , "content? I might" , "Sound of cat (or engine)" , "Cat's coo" , "Cat's contented sound" .)

I've seen this clue in The Times.
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