Not awfully keen about news boss being sharp (2,3,3)
I believe the answer is:
on the dot
'sharp' is the definition.
(both can mean promptly)
'not awfully keen about news boss' is the wordplay.
I cannot quite see how this works, but
an anagram of 'not' is 'ont' which is within the answer.
'boss' could be 'ed' (short for editor - newspaper boss) and 'ed' is found within the answer.
'keen' could be 'hot' (I've seen this in other clues) and 'hot' is located in the remaining letters.
No letters remain.
This explanation may well be incorrect...
'being' is the link.
(Other definitions for on the dot that I've seen before include "At exactly the right time" , "Sharp" , "Promptly" , "Precisely punctual" , "Absolutely punctual" .)