You may well have a hand in it, albeit briefly (6)

I believe the answer is:

sleeve

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'hand in it albeit briefly' is the definition.
I know that 'hand' relates to this answer.

I can't explain the rest of the clue.

Can you help me to learn more?

(Other definitions for sleeve that I've seen before include "Cover for arm and vinyl record" , "Covering for arm or record" , "Part of a shirt or jacket" , "Record-holder" , "Container for LP" .)

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