I doubt I would get insurance for any part of me! Just been rejected by one life insurance company and another only offered a policy if I paid out a lot after they looked at my medical record. We both have had critical life insurance for years, which has gone up in cost considerably at a time when we want to reduce costs. The need for critical insurance is not so great, now we have paid off our mortgage, children have left home and both have pensions (very small in my case). Hubby went ahead, but it was cheaper to stick with what I had.
Whimsically, I rather like my nose, ears and my bum, so I would be tempted to insure those if I had money to burn!