Entertain Erato, for example (5)
I believe the answer is:
'entertain' is the definition.
(I know that amuse is a more specific form of the action entertain)
'erato for example' is the wordplay.
'erato' becomes 'muse' (Erato was the Greek muse of poetry).
'for' is a charade indicator (letters next to each other) (I've seen this in other clues).
'example' becomes 'a' (I am not sure about this - if you are sure you should believe this answer much more).
'muse' put after 'a' is 'AMUSE'.
Can you help me to learn more?
(Other definitions for amuse that I've seen before include "Make (someone) laugh" , "Tickle" , "interest" , "Reflect" , "Keep someone entertained" .)