Slowly writing the name of an Italian poet (7)

I believe the answer is:

andante

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'slowly writing the name' is the definition.
I can't judge whether this definition defines the answer.

'an italian poet' is the wordplay.
'italian poet' becomes 'dante' (Dante Alighieri).
'an'+'dante'='ANDANTE'

'of' is the link.

Can you help me to learn more?

(Other definitions for andante that I've seen before include "(Of tempo) moderately slow" , "deliberately played" , "Fairly slow (mus.)" , "at a gentle pace" , "Moderately slow piece of music" .)

I've seen this clue in the Evening Standard.

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