Celia's new name (5)
I believe the answer is:
alice
'name' is the definition.
'celia's new' is the wordplay.
'new' is an anagram indicator.
'celia' with letters rearranged 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" .)