One ascending by twisted means will aggravate a satirical press (6,9)

I believe the answer is:

spiral staircase

'one ascending by twisted means' is the definition.
(a twisted or helical staircase)

'will aggravate a satirical press' is the wordplay.
'will aggravate' indicates anagramming the letters (letters aggravated or unsettled).
'a'+'satirical'+'press'='asatiricalpress'
'asatiricalpress' is an anagram of 'SPIRAL STAIRCASE'.

(Another definition for spiral staircase that I've seen is " Not a direct flight".)

I've seen this clue in The Times.

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