Bird told me to go halves, taking back note (6)
I believe the answer is:
tomtit
'bird' is the definition.
(tomtit is a kind of bird)
'told me to go halves taking back note' is the wordplay.
I cannot really see how this works, but
'me' could be 'i' and 'i' is present in the answer.
'to' is within the answer.
This explanation may well be incorrect...
(Other definitions for tomtit that I've seen before include "Type of bird, may be blue" , "One of various small common birds" , "Small bird" , "Popular name for a songbird" , "Bird that sang "Willow ____"" .)