Morning getting close? Correct! (5)
I believe the answer is:
amend
'correct' is the definition.
(amending is a kind of correcting)
'morning getting close?' is the wordplay.
'morning' becomes 'am' (as in 12:00 AM).
'getting' means one lot of letters go next to another.
'close?' becomes 'end' (close can mean to end or finish).
'am'+'end'='AMEND'
(Other definitions for amend that I've seen before include "Correct error, make minor alteration as to writing" , "Ameliorate" , "Correct (one's ways)" , "Revise" , "Correct or alter to improve" .)