Flee easternmost part of remote southern headland (6)

I believe the answer is:

escape

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'flee' is the definition.
(escaping is a kind of fleeing)

'easternmost part of remote southern headland' is the wordplay.
'part of' indicates taking the first letters (I've seen 'part' mean this).
'remote southern headland' becomes 'scape' (I can't justify this - if you can you should believe this answer much more).
The initial letter of 'easternmost' is 'e'.
'e'+'scape'='ESCAPE'

Can you help me to learn more?

(Other definitions for escape that I've seen before include "Get free from captivity" , "issue" , "Get free from confinement or control" , "Make a run for it" , "Leak; avoid" .)

I've seen this clue in The Times.

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