Magazine to restrict deadline (4,5)
I believe the answer is:
time limit
'deadline' is the definition.
(I've seen this before)
'magazine to restrict' is the wordplay.
'magazine' becomes 'time' (US magazine).
'to restrict' becomes 'limit' ('limit' can be a synonym of 'restrict').
'time'+'limit'='TIME-LIMIT'
(Other definitions for time limit that I've seen before include "Prescribed term" , "Deadline" , "maximum duration" , "within which task must be done" , "Point before which something must be achieved" .)