Drink with politician, taking a chance (8)

I believe the answer is:

aleatory

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'chance' is the definition.
(thesaurus)

'drink with politician taking a' is the wordplay.
'drink with' becomes 'ale' (ale is a kind of drink. I am not sure about the 'with' bit.**).
'politician' becomes 'tory' (I've seen this before).
'taking' is an insertion indicator.
'ale'+'tory'='aletory'
'aletory' going around 'a' is 'ALEATORY'.

Can you help me to learn more?

(Other definitions for aleatory that I've seen before include "depending on chance" , "dependent on chance" .)

I've seen this clue in The Independent.

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