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Airport dispute dogging former PM (8)

Ross

I believe the answer is:

heathrow

I'm a little stuck... Click here to teach me more about this clue!

'airport' is the definition.
(London airport)

'dispute dogging former pm' is the wordplay.
I cannot quite understand how this works, but
'dispute' could be 'row' (row is a kind of dispute) and 'row' is present in the answer.
'pm' could be 'heath' (prime minister Edward Heath) and 'heath' is found in the answer.
This accounts for all the letters.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

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

I've seen this clue in The Times.
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