Examine outskirts of city, one looking quite attractive (3,5)
I believe the answer is:
eye candy
'city one looking quite attractive' is the definition.
I don't know anything about this answer so I can't judge whether this works.
'examine outskirts' is the wordplay.
'examine' becomes 'eye' (I've seen this in another clue).
'outskirts' becomes 'candy' (I am not sure about this - if you are sure you should believe this answer much more).
'eye'+'candy'='EYE CANDY'
'of' acts as a link.
Can you help me to learn more?
(Other definitions for eye candy that I've seen before include "One's found stunning" , "Vacuous Adonis" , "One who is visually pleasing" , "visual feast" , "pretty images" .)