Problem of Beethoven perhaps, sacking the first three (5)
I believe the answer is:
poser
'problem' is the definition.
(poser is a kind of problem)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for poser that I've seen before include "Pseud" , "Problem set by the model" , "Person still being portrayed" , "Puzzling question for the model" , "insincere?" .)