Value eastern links to the west (6)
I believe the answer is:
esteem
'value' is the definition.
('esteem' can be a synonym of 'value')
'eastern links to the west' is the wordplay.
'eastern' becomes 'e'.
'links' becomes 'meets'.
'to the west' is a reversal indicator.
'meets' written backwards gives 'steem'.
'e'+'steem'='ESTEEM'
(Other definitions for esteem that I've seen before include "Respect, admire" , "Venerate" , "Admiration, regard" , "Respect and admiration" , "Hold in high regard and respect" .)