King managed to go up and annoy (4)
I believe the answer is:
nark
'annoy' is the definition.
('nark' can be a synonym of 'annoy')
'king managed to go up' is the wordplay.
'king' becomes 'k'.
'managed' becomes 'ran' (I've seen this before).
'to go up' shows that the letters should be reversed in order (I've seen 'goes up' mean this).
'k'+'ran'='kran'
'kran' written backwards gives 'NARK'.
'and' is the link.
(Other definitions for nark that I've seen before include "Annoy; informer (sl.)" , "Bug" , "Grass; irritate" , "expert" , "a nuisance down under" .)