Airport boss not closing shed (8)

I believe the answer is:

heathrow

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'airport' is the definition.
(London airport)

'boss not closing shed' is the wordplay.
'boss' becomes 'head' (synonyms).
'not closing' means to remove the last letter.
'shed' becomes 'throw' (I am not sure about this - if you are sure you should believe this answer much more).
'head' with its last letter taken off is 'hea'.
'hea'+'throw'='HEATHROW'

Can you help me to learn more?

(Other definitions for heathrow that I've seen before include "lots of movement through the air here" , "site for airport" , "London's busiest airport" , "London airport" , "our counterpart of Charles de Gaulle" .)

I've seen this clue in The Sunday Times.

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