Prince informally introduced to monarch an odd-jobber (8)
I believe the answer is:
handyman
'odd-jobber' is the definition.
(I've seen this before)
'prince informally introduced to monarch an' is the wordplay.
'prince informally' becomes 'andy' (Prince Andrew informally).
'introduced to' is an insertion indicator.
'monarch' becomes 'hm' (abbreviation for His or Her Majesty).
'andy' placed within 'hm' is 'handym'.
'handym'+'an'='HANDYMAN'
(Other definitions for handyman that I've seen before include "One hired to do odd jobs" , "Odd-jobber" , "Odd-jobs person" , "Repairer" , "One employed to do odd jobs" .)