Half-cut politicians in high places (4)

I believe the answer is:

tors

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'high places' is the definition.
Both the answer and definition are plural nouns.
Maybe they are linked in a way I don't understand?

'half-cut politicians' is the wordplay.
'half cut' suggests halving the letters.
'politicians' becomes 'senators' (senator is a kind of politician).
'senators' with half the letters taken is 'TORS'.

'in' acts as a link.

Can you help me to learn more?

(Another definition for tors that I've seen is " High rocky hills".)

I've seen this clue in The Independent.

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