Regular gigs in clubs in the far edge of Upper East Side New York (9)

I believe the answer is:

residency

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But I can't explain it at all! Could you help me understand?

(Other definitions for residency that I've seen before include "Position in house" , "Home" , "live-in post" , "Fact of living in a place" , "temporary post as artist" .)

I've seen this clue in The Independent.

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