Promiscuous people, wanting bit of privacy, slip away (5)

I believe the answer is:

elope

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'slip away' is the definition.
(to elope is to run away to get married)

I can't explain the remainder of the clue.

(Other definitions for elope that I've seen before include "Run away to wed" , "Do a runner" , "Run away to get married" , "leave with lover" , "Run away with one's beloved" .)

I've seen this clue in The Hindu.

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