Times covering new girl (5)
I believe the answer is:
agnes
'girl' is the definition.
'times covering new' is the wordplay.
'times' becomes 'ages' (age is a kind of time).
'covering' indicates putting letters inside.
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'ages' placed around 'n' is 'AGNES'.
(Other definitions for agnes that I've seen before include "The Eve of St. - (Keats)" , "girl" , "Scandinavian singer" , "Patron saint of virgins" , "Miss Grey" .)