Celia's new name (5)
I believe the answer is:
alice
'name' is the definition.
'celia's new' is the wordplay.
'new' indicates anagramming the letters.
'celia' anagrammed gives 'ALICE'.
(Other definitions for alice that I've seen before include "Lewis Carroll's immortal girl" , "Girl who famously explored Wonderland" , "Looking-glass girl" , "Lewis Carroll's heroine" , "Wonderland girl; --- B. Toklas" .)