Girl with some real ice cream (5)
I believe the answer is:
alice
'girl' is the definition.
(girl's nae)
'some real ice cream' is the wordplay.
'some' indicates the answer is hidden within the clue (some of the parts of the word are used).
'ALICE' is hidden within 'real ice cream'.
'with' acts as a link.
(Other definitions for alice that I've seen before include "Adventurous girl created by Lewis Carroll" , "Girl who famously explored Wonderland" , "Girl in literary Wonderland" , "Carrol's heroine" , "Lewis Carroll's immortal girl" .)