My daughter had the tongue tie cut at 8 weeks old at the regular clinic at Kings. It was done within a week of her being referred by specialist midwife at breastfeeding cafe. I'm not sure if speed of getting it done was the reason for using BUPA so just wanted to let you know it seems to get done quite quickly anyway. My daughter's tongue tie got identified by first midwife on a Tuesday at a breastfeeding cafe, I got the official referral from specialist midwife on the Thursday at the Peckham library bf cafe and it got cut on the next Tuesday. My GP actually did a referral as well. This took longer to get through the system ans the tongue tie clinic contacted me to say they wouldn't take the GP referral and needed the specialist midwife to refer which luckily I had also got done and already had the clinic booked. I'm not sure if the lactation consultant who did your referral is one of the specialist midwives. They attend about 3 of the bf cafes a week. I can't remember which ones apart from the Peckham Library on Thursday mornings but health visitor should know. If it was one of these they pass the referral straight to tongue tie clinic and you should have an appointment soon. I know this doesn't directly answer you question about BUPA but I hope it might be useful to know it can get done quickly without having to make a claim on insurance. Good luck with getting it sorted soon. It really dis help make bf easier so hope it does for you too.