A new Skype for Linux client is now available as an alpha.
The Skype client for Linux had been long abandoned—it's stuck on version 4.3, compared to version 7 on Windows—but Microsoft has now belatedly recognized that Skype is at its most desirable when it's available on every platform. To that end, it has created an all-new Skype client.
The new client in fact has two versions. There's a Linux app for users of traditional Linux systems. There's also the Skype Web Client, which is supported in Chrome on Linux and Chromebooks running Chrome OS. Whether using the Web or the standalone app, the core code and capabilities are the same: it's using Chrome's WebRTC support to provide a plugin-free, Web-based Skype client.