Restrict attention from the press, declining deliveries (4)
I believe the answer is:
cage
'restrict' is the definition.
(thesaurus)
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for cage that I've seen before include "Eg, aviary" , "Enclosure of wire or metal bars" , "Confine behind bars" , "Enclosure made from metal bars" , "Shut up!" .)