Songbird twists oddly (3)
I believe the answer is:
tit
'songbird' is the definition.
(I've seen this before)
'twists oddly' is the wordplay.
'oddly' indicates alternate letters.
The alternate letters of 'twists' are 'TIT'.
(Other definitions for tit that I've seen before include "What you swap for tat" , "Small garden bird" , "18's [BIRD]" , "useless horse, or not?" , "Boob made backing" .)