A little something singer got teeth into (6)
I believe the answer is:
titbit
'a little something' is the definition.
'singer got teeth into' is the wordplay.
'singer' becomes 'tit' (type of songbird**).
'got teeth into' becomes 'bit'.
'tit'+'bit'='TITBIT'
(Other definitions for titbit that I've seen before include "tiny amount of food" , "Small tasty bit of food" , "Small piece of tasty food" , "Small tasty morsel" , "Dainty morsel" .)