British students take turn, getting tenacious person a dog (4,7)

I believe the answer is:

bull terrier

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'british students take turn' is the definition.
I can't tell whether this defines the answer.

'tenacious person a dog' is the wordplay.
'tenacious person' becomes 'bull' (bull is a kind of person. I am not sure about the 'tenacious' bit.).
'a dog' becomes 'terrier' (terrier is a kind of dog).
'bull'+'terrier'='BULL-TERRIER'

'getting' acts as a link.

Can you help me to learn more?

(Another definition for bull terrier that I've seen is " Breed of dog".)

I've seen this clue in The Daily Express.

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