Went west in, for example, a sport (8)
I believe the answer is:
speedway
'a sport' is the definition.
(I've seen this before)
'went west in for example' is the wordplay.
'went' becomes 'peed' (both can mean urinated).
'west' becomes 'w' ('W' can be a synonym of 'west').
'in' is an insertion indicator.
'for example' becomes 'say' (I've seen this before).
'peed'+'w'='peedw'
'peedw' inserted inside 'say' is 'SPEEDWAY'.
(Other definitions for speedway that I've seen before include "Race-track" , "SPORT/GAME" , "Form of motorcycle racing" , "Motor sport" , "fast-track competition" .)