Flat by centre of quad in Italian city (5)
I believe the answer is:
padua
'italian city' is the definition.
(I've seen this before)
'flat by centre of quad' is the wordplay.
'flat' becomes 'pad' (a person's home).
'by' says to put letters next to each other.
'centre of' says to take the centre.
The central letters of 'quad' are 'ua'.
'pad'+'ua'='PADUA'
'in' is the link.
(Other definitions for padua that I've seen before include "City of N. Italy" , "Italian city near Venice" , "Italian city of St Anthony" , "North-eastern Italian city" , "City in northeast Italy" .)