Crossword Genius

Gone out to a city in Italy (5)

Ross

I believe the answer is:

genoa

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

'in italy' is the definition.
('Genoa' is part of 'italy')

'gone out to a city' is the wordplay.
I cannot quite understand how this works, but
an anagram of 'gone' is 'geno' which is present in the answer.
'a' is present in the answer.
No letters remain.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for genoa that I've seen before include "NW Italian sea port" , "Cake type; foresail" , "North Italian port" , "Seaport in northwestern Italy" , "Italian city; sail" .)

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