Ann drove around Granny (3)

I believe the answer is:

nan

I'm a little stuck... Click here to teach me more about this clue!

'granny' is the definition.
(I know that nan is a type of granny)

'ann drove' is the wordplay.
'ann' can be anagrammed to 'NAN'.
But, I'm not clear how this is indicated.

'around' acts as a link.

Can you help me to learn more?

(Other definitions for nan that I've seen before include "Indian bread; grandma" , "Gran" , "woman from an earlier generation" , "Darling dog" , "Grandmother (colloq.)" .)

I've seen this clue in The Mirror.

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