Late, shortened meeting with head of broadcasting to make new recording (7)

'broadcasting to make new recording' is the definition.
I don't know anything about this answer so I can't tell whether it can be defined by this definition.

'late shortened meeting with head of' is the wordplay.
I cannot really understand how this works, but
'late' could be 'd' and 'd' is present in the answer.
'meeting' could be 'rub' (rub is a kind of meeting) and 'rub' is found in the leftover letters.
'of' could be 'o' and 'o' is found within the answer.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?