Number hurry after the tailless bird (4,6)
I believe the answer is:
song thrush
'bird' is the definition.
(song thrush is a type of bird)
'number hurry after the tailless' is the wordplay.
'number' becomes 'song' (I've seen this before).
'hurry' becomes 'rush' (synonyms).
'after' says to put letters next to each other.
'tailless' means to remove the last letter (the tail of the word is removed).
'the' with its final letter taken away is 'th'.
'rush' put after 'th' is 'thrush'.
'song'+'thrush'='SONG-THRUSH'
(Other definitions for song thrush that I've seen before include "Turdus philomelos" , "In garden, bird" .)