Well-liked people like me, who introduce extra pieces (9)

I believe the answer is:

insetters

'who introduce extra pieces' is the definition.
(people who create or provide insets)

'well-liked people like me' is the wordplay.
'well-liked' becomes 'in' (both can mean popular).
'people like me' becomes 'setters' (as in crossword setters).
'in'+'setters'='INSETTERS'

I've seen this clue in The Guardian.

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