I believe Cosmetic Bliss will actually cover you for up to £5000 for any post-surgery complications, so if you need to stay in longer or they need to re-operate, you should be ok. I would think it would be nigh-on impossible for you to buy a separate/independent insurance policy to cover you in the event of complications by Cosmetic Bliss, but what I would say is if you are concerned, then talk to them, they may well be able to write in some more extended type of cover for any extra fee, which you may think worth it for peace of mind.