Illicit indulgences coming out after leader in government sacked (10)

I believe the answer is:

unlicensed

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'illicit' is the definition.
(thesaurus)

I cannot understand how the remainder of the clue works.

(Other definitions for unlicensed that I've seen before include "Not permitted to sell alcoholic liquor" , "Not able to sell alcohol" .)

I've seen this clue in The Telegraph.

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