Songster halves that hurry-scurry (6)
I believe the answer is:
thrush
'songster halves that hurry-scurry' is the definition.
'thrush' can be an answer for 'songster' (I've seen this before). I'm not sure about the rest of the definition.
'that hurry-scurry' is the wordplay.
'that hurry' becomes 'th' (this might be a standard abbreviation which I don't know about).
'scurry' becomes 'rush' (I've seen this before).
'th'+'rush'='THRUSH'
Can you help me to learn more?
(Other definitions for thrush that I've seen before include "Speckled songbird or throat infection" , "Repetitive singer" , "Bird that sings" , "Common British songbird" , "Brownish songbirds" .)