Appearing as a monarch pursuing convenience (7)
I believe the answer is:
looking
'appearing' is the definition.
('look' can be a synonym of 'appear')
'a monarch pursuing convenience' is the wordplay.
'a monarch' becomes 'king' (king is a kind of monarch).
'pursuing' means one lot of letters go next to another.
'convenience' becomes 'loo' (both can mean a toilet).
'king' put after 'loo' is 'LOOKING'.
'as' is the link.
(Other definitions for looking that I've seen before include "Watching" , "Directing the eyes towards" , "Seeming, appearing" , "Appearing (like)" , "Directing one's gaze" .)