Download link
Download: https://www.skype.com/en/download-skype/skype-for-computer/
For those who care,
a) It installed easily on my Mint box
b) As far as I can tell it's audio only, not video
c) The actual UI looks like about 1998
d) There was some confusion because I tried to sign in using my email address (which works if you sign as a Microsoft account holder) rather than my Skype ID, which apparently I do not have even though I had set up a brand new Skype log-in mere minutes earlier.
Aside from all of that, if Skype works in your browser why would you bother?