Royal answer to amuse (5)
I believe the answer is:
erato
'royal answer to amuse' is the definition.
I can't tell whether this defines the answer.
'royal answer to' is the wordplay.
'royal' becomes 'er' (abbreviation for Elizabeth Regina).
'answer' becomes 'a' (abbreviation eg in Q and A).
'er'+'a'+'to'='ERATO'
Can you help me to learn more?
(Other definitions for erato that I've seen before include "poetical inspiration" , "Clio's sister" , "Muse of 11 and 23" , "Lyric poetry's muse" , "inspiration for poetry" .)