Dodge eastern fellow going west (5)
I believe the answer is:
evade
'dodge' is the definition.
(I know that evade is a more specific form of escape)
'eastern fellow going west' is the wordplay.
'eastern' becomes 'e'.
'fellow going west' becomes 'vade' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'e'+'vade'='EVADE'
Can you help me to learn more?
(Other definitions for evade that I've seen before include "Avoid, get out of" , "Dodge - prevaricate" , "Dodge (taxes)" , "Escape (esp. by guile)" , "Manage to avoid" .)