Skype has lots of useful “extras” you can add. I added one that insisted on running and adding itself to my taskbar, even when I didn’t want it. I had to work out how to uninstall it.
To uninstall a skype extra, click on “Tools” in the top menubar. Expand the “Extras” menu and look for “Organize Your Extras”.
Click on organize your extras and you will see a list of your installed extras.
Beside each item in the list you will see a grey button marked “Menu”. Click on this and you will see uninstall.