When you are signed in to Skype and minimized Skype is still displayed on your taskbar and it gets especially annoying if you have a lot of windows open.
In previous versions of Skype, the only way to remove Skype from the taskbar was to run it in Windows XP compatibility mode. This is no longer the case with the new version of Skype.
Step 1: Open Skype and click on Tools.
Step 2: Click on Options to open the options window.
Step 3: Click on Advanced Settings.
Step 4: Un-select Keep Skype in the taskbar while I\’m signed in.
The next time you click on X, Skype will continue to run in your System Tray.