Latte brewed in extremely suave city (7)
I believe the answer is:
seattle
'city' is the definition.
(Seattle is an example)
'latte brewed in extremely suave' is the wordplay.
'brewed' indicates an anagram.
'in' is an insertion indicator.
'extremely' suggests removing the centre.
'suave' with its middle taken out is 'se'.
'latte' with letters rearranged gives 'eattl'.
'eattl' inserted inside 'se' is 'SEATTLE'.
(Other definitions for seattle that I've seen before include "American city" , "Sleepless in --, film" , "? American seaport" , "somewhere in Washington" , "US West coast port" .)