Arrogant type stumped in superior role (7)
I believe the answer is:
upstart
'arrogant type' is the definition.
(I've seen this before)
'stumped in superior role' is the wordplay.
'stumped' becomes 'st' (cricket abbreviation).
'in' indicates putting letters inside.
'superior' becomes 'u' (I've seen this in other clues).
'role' becomes 'part' (eg a part or role in a film).
'u'+'part'='upart'
'st' put into 'upart' is 'UPSTART'.
(Other definitions for upstart that I've seen before include "Person suddenly risen in world, and arrogant" , "New and arrogant arrival at high position" , "Nouveau-riche" , "Arrogant person new in high position" , "Person risen to high position, arrogant with it" .)