Strange feeling about capital of Italy - it’s an Italian city (5)
I believe the answer is:
turin
'an italian city' is the definition.
(I've seen this before)
'strange feeling about capital of italy' is the wordplay.
'strange feeling' becomes 'turn'.
'about' indicates putting letters inside.
'capital of' indicates taking the first letters.
The initial letter of 'italy' is 'i'.
'turn' going around 'i' is 'TURIN'.
'it's' is the link.
(Other definitions for turin that I've seen before include "City of northern Italy" , "It. city housing shroud" , "I turn to the Italian city" , "Piedmontese capital" , "Industrial city in northwest Italy" .)