Member to rise not Conservative (4)

I believe the answer is:

limb

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'member' is the definition.
(member can mean a limb)

I don't understand the rest of the clue.

(Other definitions for limb that I've seen before include "Bough" , "Part of body or branch of tree" , "Tentacle" , "A supporter" , "as part of plane, say" .)

I've seen this clue in The Sun.

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