Making a request like a monarch (6)
I believe the answer is:
asking
'making a request' is the definition.
(I've seen this in another clue)
'like a monarch' is the wordplay.
'like' becomes 'as'.
'a monarch' becomes 'king' (king is a kind of monarch).
'as'+'king'='ASKING'
(Other definitions for asking that I've seen before include "Begging" , "Presenting petition" , "Posing a question" , "For the ___; freely available" , "Direction a question" .)