This is enormous news. I could see a scenario where, in ~5 years, WebAssembly could provide an alternative to having to develop apps with HTML for the web, Swift for iOS, and Java for Android. Instead, you could build browser-based apps that actually delivered native performance, even for CPU- and GPU-intensive tasks.
Of course, there would still be UI differences required between the 3 platforms, but you would no longer need 3 separate development teams.