Anxious to get knowledge about the East (4)
I believe the answer is:
keen
'anxious' is the definition.
(I've seen this before)
'knowledge about the east' is the wordplay.
'knowledge' becomes 'ken' (ken is a kind of knowledge).
'about' is an insertion indicator.
'the east' becomes 'e' (synonyms).
'ken' placed around 'e' is 'KEEN'.
'to get' is the link.
(Other definitions for keen that I've seen before include "moan" , "Acute" , "(Of a blade) sharp" , "mourn for the departed" , "Quick" .)