Try to make the 'West' End 'East', possibly! (5)
I believe the answer is:
taste
'try' is the definition.
('taste' can be a synonym of 'try')
'the west end east possibly' is the wordplay.
'end' says to take the final letters.
'possibly' is an anagram indicator.
The last letter of 'west' is 't'.
'east' with letters rearranged gives 'aste'.
't'+'aste'='TASTE'
'to make' is the link.
(Other definitions for taste that I've seen before include "Sample - discrimination" , "Sensation of flavour" , "Test for flavour" , "Savour, relish" , "Sense showing refinement" .)