PM, previously to resign, remains around (7)

I believe the answer is:

asquith

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'pm' is the definition.
(I've seen this before)

'resign remains around' is the wordplay.
'resign' becomes 'quit' (I've seen this before).
'remains' becomes 'ash' (I've seen this before).
'around' indicates putting letters inside.
'quit' inserted inside 'ash' is 'ASQUITH'.

'previously to' acts as a link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.

Can you help me to learn more?

(Other definitions for asquith that I've seen before include "Former Prime Minister" , "Herbert - - , WW1 PM" , "H H ---, Liberal PM" , "old cabinet maker" , "Ex-PM" .)

I've seen this clue in The Times.

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