Monarchial, at heart roguish (4)
I believe the answer is:
arch
'roguish' is the definition.
(I've seen this in another clue)
'monarchial at heart' is the wordplay.
'at heart' indicates the answer is hidden within the clue (letters hidden in the heart of the clue).
'ARCH' is hidden in the letters of 'monarchial'.
(Other definitions for arch that I've seen before include "Mischievous - shrewd" , "Cunning; bridge" , "not to go straight?" , "Waggish" , "Construction with a keystone" .)