There's a book series based on using cloning and memory storage to accomplish very similar things called Undying Mercenaries. The main difference is instead of copying someone and keeping the copy on ice they have cybernetic implants that send engrams of their mind to remote storage, and if they die a clone can be rapidly grown and those stored memories saved to it. It gets pretty schlocky as time goes on, but it's a fun premise to play around with.