Scottish girl out to lunch with graduate in Asian city (9)
I believe the answer is:
islamabad
'asian city' is the definition.
(I've seen this before)
'scottish girl out to lunch with graduate' is the wordplay.
'scottish girl' becomes 'isla' (I can't justify this - if you can you should believe this answer much more).
'out to lunch' becomes 'mad'.
'with' means one lot of letters goes inside another.
'graduate' becomes 'ba'.
'mad' enclosing 'ba' is 'mabad'.
'isla'+'mabad'='ISLAMABAD'
'in' acts as a link.
(Other definitions for islamabad that I've seen before include "Pakistan's capital" , "capital city" , "city of Pakistan?" , "Asian city" , "Capital of Pakistan" .)