Regarding the morning paper (4)
I believe the answer is:
ream
'paper' is the definition.
(a ream is an amount of paper)
'regarding the morning' is the wordplay.
'regarding' becomes 're' ('re' means regarding or about).
'the morning' becomes 'am' (as in re:00 AM).
're'+'am'='REAM'
(Other definitions for ream that I've seen before include "20 quires of paper" , "Widen (hole); quantity of paper" , "Make hole larger - lot of paper" , "Many bits of paper" , "500 sheets, perhaps" .)