Try moving east to the West End! (5)
I believe the answer is:
taste
'try' is the definition.
('taste' can be a synonym of 'try')
'moving east to the west end' is the wordplay.
'moving' is an anagram indicator.
'the west end' suggests halving the letters (the half on the left or west).
'to' halved is 't'.
'east'+'t'='eastt'
'eastt' is an anagram of 'TASTE'.
(Other definitions for taste that I've seen before include "Judgment" , "Sample by eating or drinking a little" , "A test (anag)" , "Small sample of food" , "Decorum" .)