At first, I would like to share my experience to try to avoid waste of time and frustration to some of you.
I have been using Skype 220.127.116.11 on Linux Mint 18.3 Cinnamon, kernel 4.10.0-42 without any trouble.
After upgrading to 18.104.22.168, my webcam (logitech C525) is not found anymore by Skype ("no device found" error).
Getting back to 22.214.171.124 on exactly the same system allows me to recover all functionalities.
Actually, I made a mistake I corrected after my initial posting, upgrading to 126.96.36.199 works fine as well. It is the 188.8.131.52 that Mint offers as Preview which is an issue.
Then, @Microsoft support : at your disposal for any additional information if you would like some tests to be performed.