Just Mobile TENC™ is a masterwork of technical virtuosity: a near-invisible, self-mending case for iPhone 6s/6. http://www.just-mobile.com/tenc.html
Crafted from auto-healing smart materials and perfectly tailored to the iPhone’s curved edges, the TENC™ will keep your precious phone protected and pristine – offering incredible durability without ever compromising the beauty of your beloved phone.
Yes, it is self-mending for scratches, but I think if you cut the case with scissors, or use a very sharp knife, and remove some of the plastic on the case, it can't be repaired on its own.
I agree, it is probably best to get a case that can't be easily cut. It would also probably cheaper to buy a hard plastic or metal case which you can get for $10 or less on eBay or Amazon.