Bird hurried after half of this (6)
I believe the answer is:
thrush
'bird' is the definition.
(thrush is a kind of bird)
'hurried after half of this' is the wordplay.
'hurried' becomes 'rush' (similar in meaning).
'after' is a charade indicator (letters next to each other).
'half of' means to take half the letters.
'this' with half the letters taken is 'th'.
'rush' put after 'th' is 'THRUSH'.
(Other definitions for thrush that I've seen before include "Songster" , "Flyer" , "Songbird - fungal infection" , "Bird that sings" , "Common garden bird" .)