King George in succession shame (7)
I believe the answer is:
chagrin
'shame' is the definition.
(chagrin is a kind of shame)
'king george in succession' is the wordplay.
'king george' becomes 'gr' (Georgius Rex).
'in' means one lot of letters goes inside another.
'succession' becomes 'chain' (I've seen this before).
'gr' going within 'chain' is 'CHAGRIN'.
(Other definitions for chagrin that I've seen before include "Embarrassment - rich nag (anag)" , "Annoyance/shame at one's failure" , "Acute annoyance or disappointment" , "anything but delight" , "Feeling of annoyance and disappointment" .)