Gladly, no longer said to be supporting small local party (4,4)

I believe the answer is:

sinn fein

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'party' is the definition.
(Irish political party)

I cannot understand how the remainder of the clue works.

(Other definitions for sinn fein that I've seen before include "Gerry Adams's party" , "Irish political movement" , "Irish political party" , "Irish nationalist party" , "GerryAdams's political party" .)

I've seen this clue in The Times.

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