Asthmatic Republican vandalised Dutch city (10)
I believe the answer is:
maastricht
'dutch city' is the definition.
(I've seen this before)
'asthmatic republican vandalised' is the wordplay.
'republican' becomes 'R' (abbreviation in US politics).
'vandalised' indicates anagramming the letters.
'asthmatic'+'r'='asthmaticr'
'asthmaticr' with letters rearranged gives 'MAASTRICHT'.
(Other definitions for maastricht that I've seen before include "Nineteen-hundred and ninety-one EU treaty city" , "somewhere in Europe" , "European city" , "Dutch city, treaty" .)