The procedure is called a mucosectomy, and it removes the lining (“mucous layer”) from the cuff. It’s not risk-free, and does sometimes reduce continence, so you ought to have a frank conversation with the surgeon about the likely outcome and the risks. A more aggressive surgery for uncontrollable cuffitis combines mucosectomy with pouch advancement, which removes almost all of the rectal cuff and pulls the pouch up to the anal canal, where it is attached using a delicate and technically difficult hand sewing technique.
I hope all goes well.