Does it have to be Skype? Or will any video chat service do? Skype has always been a problem even back in the early 2000s because their communication protocol was proprietary. This limitation has mostly gone away as companies moved to web clients, but Skype has been one of the companies which refused to release a decent web client. You cannot get it working on any device unless Skype (now Microsoft) deems the device worthy of a native Skype app.
If you just want video chat, Google Hangouts works fine from a web browser.
https
/support.google.com/hangouts/answer/6098392