An eminent Florentine's unhurried pace? (7)

I believe the answer is:

andante

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'unhurried pace?' is the definition.
(I've seen this before)

'an eminent' is the wordplay.
'eminent' becomes 'dante' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'an'+'dante'='ANDANTE'

'florentine's' acts as a link.
I am not very happy about this link. It may belong to another bit of the clue.

Can you help me to learn more?

(Other definitions for andante that I've seen before include "Fairly slow (mus.)" , "not hurrying from bar to bar" , "Moving fairly slowly" , "not quickly" , "Musical instruction" .)

I've seen this clue in The Times and The Telegraph.

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