Western city to avoid (5)
I believe the answer is:
dodge
I believe this clue is a double definition.
'western city' is the first definition.
(dodge city, kansas is known for the old west)
'to avoid' is the second definition.
(to dodge is to duck or avoid)
(Other definitions for dodge that I've seen before include "Step sideways to evade" , "bypass" , "Avoid cunningly" , "Avoid with subterfuge" , "Wheeze" .)