Cheeky youth's back in Scottish city (5)
I believe the answer is:
perth
'scottish city' is the definition.
(Perth is a city in Scotland)
'cheeky youth's back' is the wordplay.
'cheeky' becomes 'pert' (pert can mean cheeky or insolent).
'back' says to take the final letters (the letter at the back).
The final letter of 'youth' is 'h'.
'pert'+'h'='PERTH'
'in' acts as a link.
(Other definitions for perth that I've seen before include "Home of fair maid" , "Australian state capital" , "Period (of effort)" , "City of Scotland" , "Western Australia's capital" .)