Be very enthusiastic about the number by the composer (5)
I believe the answer is:
ravel
'the composer' is the definition.
(Maurice Ravel)
'be very enthusiastic about the number' is the wordplay.
'be very enthusiastic about' becomes 'rave' (I can't explain this - if you can you should give a lot more credence to this answer).
'the number' becomes 'L' (L is an example).
'rave'+'l'='RAVEL'
'by' is the link.
Can you help me to learn more?
(Other definitions for ravel that I've seen before include "French composer, Maurice (1875-1937)" , "note-writer observed" , "Fray; composer" , "Bolero's composer" , "He scored" .)