Discharge coming from Eastern embassy (8)
I believe the answer is:
emission
'discharge' is the definition.
('emission' can be a synonym of 'discharge')
'eastern embassy' is the wordplay.
'eastern' becomes 'e'.
'embassy' becomes 'mission' (I've seen this before).
'e'+'mission'='EMISSION'
'coming from' acts as a link.
(Other definitions for emission that I've seen before include "it gets thrown out" , "A giving out or putting forth" , "issue" , "Going out" , "Something given out" .)