Crossword Genius

Around the country one chases show dog (5-2-7)

Ross

I believe the answer is:

point-to-pointer

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'around the country one chases' is the definition.
I know nothing about this answer so I cannot judge whether it can be defined by this definition.

'show dog' is the wordplay.
'show' becomes 'pointto' (synonyms).
'dog' becomes 'pointer' (pointer is a kind of dog).
'pointto'+'pointer'='POINT-TO-POINTER'

Can you help me to learn more?

(Another definition for point-to-pointer that I've seen is " cross-country racer".)

I've seen this clue in The Telegraph.
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