Okay, if you tried uninstalling skype and the drivers, restarting and then reinstalling.
If that did not help then please go to Device manager > Imaging devices and right click on ASUS USB2.0 Webcam and then click uninstall.
Once you have done that, restart your computer then when it's back up and running go into Device Manager again back to the same location but then choose ''Update driver'' and it should automatically find and install the driver again.
Let me know how it goes