This is a workaround working for me:
Go to java control panel, security tab, set security level to medium.
In exception sites list, click edit and add:
https://mybookliveduo.deviceXXXXXX.wd2go.com
http://mybooklive.deviceXXXXXX.wd2go.com/Admin/webapp/htdocs/
http://mybooklive.deviceXXXXXX.wd2go.com:80/Admin/webapp/htdocs/MapDrive.jar?v=18
You must change XXXXXX with your WD device number.
Thus there are no security warranty.