Handle a day shift? (7)
I believe the answer is:
address
'handle' is the definition.
('address' can be a synonym of 'handle')
'a day shift?' is the wordplay.
'a day' becomes 'ad' (I've seen this in other clues**).
'shift?' becomes 'dress' (shift is a kind of dress).
'ad'+'dress'='ADDRESS'
(Other definitions for address that I've seen before include "Form of identification for building" , "Art" , "Speak formally to an audience" , "Call" , "In almost desperate straits" .)