I've had the same issue, the skin around the display back / dpad buttons has started to slide around and peel away. The camera is extremely well looked after and is kept in a bag at all times when not shooting. It's 2 years old and not used particularly heavily and has never been exposed to extreme heat or cold and has only once been exposed to drizzle once, despite being weather resistant. So, I can be confident in saying that this is a manufacturing issue rather than a user issue.
Good news is that I just called Fuji UK and spoke to customer services and they're going to send me out a replacement section of skin (it comes in parts) as well as new tape for free. I did stress that I thought it was a manufacturing issue and it has been heavily reported. Wether that influenced them resolving for free I don't know but I'm happy with the manner they've dealt with the issue.
