One ringing about a garden in Derbyshire town (8)

I believe the answer is:

bakewell

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'derbyshire town' is the definition.
I know nothing about this answer so I can't tell whether this works.

'one ringing about a garden' is the wordplay.
'one ringing' becomes 'bell' (bell ringing is a kind of ringing).
'about' means one lot of letters goes inside another.
'garden' becomes 'kew' (Kew Gardens in London).
'a'+'kew'='akew'
'bell' placed around 'akew' is 'BAKEWELL'.

'in' is the link.

Can you help me to learn more?

(Other definitions for bakewell that I've seen before include "Town in Peak District" , "town in Derbyshire" , "Pastry from Derbyshire" , "Town known for tarts" .)

I've seen this clue in The Times.

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