Bird after song for competition (5,5)
I believe the answer is:
round robin
'competition' is the definition.
(round robin is a kind of competition)
'bird after song' is the wordplay.
I cannot quite see how this works, but
'bird' could be 'robin' (robin is a kind of bird) and 'robin' is present in the answer.
'song' could be 'round' (round is a kind of song) and 'round' is found within the answer.
No letters remain.
This explanation may well be incorrect...
'for' acts as a link.
Can you help me to learn more?
(Other definitions for round robin that I've seen before include "Request presented, with no clear leader" , "Multi-signature letter" , "Circular letter, petition" , "Tournament in which every contestant plays against every other" , "note" .)