Record any number in Snake City (7)
I believe the answer is:
bologna
'city' is the definition.
(city in Italy)
'record any number in snake' is the wordplay.
'record' becomes 'log' (logging is a kind of recording).
'any number' becomes 'n' (mathematical symbol for an unspecified number).
'in' is an insertion indicator.
'snake' becomes 'boa' (boa constrictor, type of snake).
'log'+'n'='logn'
'logn' put into 'boa' is 'BOLOGNA'.
(Other definitions for bologna that I've seen before include "Capital of Emilia-Romagna" , "North Italian university city" , "Italian province" , "Italian city - smoked sausage" .)