Girl off beer repeating cold answer (7)
I believe the answer is:
rebecca
'girl' is the definition.
(girl's name)
'off beer repeating cold answer' is the wordplay.
'off' indicates an anagram.
'repeating' says to double the letters.
'cold' becomes 'c' (eg on taps).
'answer' becomes 'a' (abbreviation eg in Q and A).
'c' duplicated is 'cc'.
'beer' with letters rearranged gives 'rebe'.
'rebe'+'cc'+'a'='REBECCA'
(Other definitions for rebecca that I've seen before include "she loved Ivanhoe" , "Girl's name - mother of Jacob and Esau" , "Daphne du Maurier novel; girl's name" , "One of the four matriarchs of the Jewish people (anglicised)" , "She married Maxim first" .)