Aristocrat without a scrap found outside city (6)
I believe the answer is:
berlin
'city' is the definition.
(Berlin is an example)
'aristocrat without a scrap found outside' is the wordplay.
'aristocrat' becomes 'earl' (earl is a kind of aristocrat).
'without' is a deletion indicator.
'scrap' becomes 'bin' (I've seen this in other clues).
'found outside' is an insertion indicator.
'earl' with 'a' taken away is 'erl'.
'erl' placed within 'bin' is 'BERLIN'.
(Other definitions for berlin that I've seen before include "Composer < in carriage < in European capital" , "Isaiah, say?" , "Irving -, Russian-born musical composer" , "German city" , "German capital" .)