Supporter integrating with UK garment (5)

I believe the answer is:

burka

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'garment' is the definition.
(I know that burka is a type of garment)

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for burka that I've seen before include "Muslim garment (K not Q)" , "Muslim women's garment" , "Afghan women's covering" , "it's on some Muslims" , "Loose garment worn by Muslim women" .)

I've seen this clue in The Independent.

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