Me with the monarch to wander (7)
I believe the answer is:
meander
'to wander' is the definition.
(I've seen this in another clue)
'me with the monarch' is the wordplay.
'with' becomes 'and'.
'the monarch' becomes 'er' (abbreviation for Elizabeth Regina, British Queen).
'me'+'and'+'er'='MEANDER'
(Other definitions for meander that I've seen before include "Snake" , "Wind about or wander here and there" , "Wander aimless" , "Wander without aim or direction" , "circuitous route" .)