I tried to install the latest Skype with the latest wine (1.7.38). While the installation itself worked, every time I start Skype, after a minute or so, it crashes.
Also, there is nothing that seems to be specifically causing the problem (that is, not a single action, or something similar, as there is no "common theme" for the crashes).
All of my wine settings are the default one except the Windows version setting (Windows 8). Yes, I know that it's entirely possible to run a native Skype, but that's old and horrible, so I'd prefer not to do so.