You can uninstall or removes an installed libgnome-desktop-3-12 package itself from Ubuntu 16.04 LTS (Xenial Xerus) through the terminal,
$ sudo apt-get remove libgnome-desktop-3-12
If you would like to remove libgnome-desktop-3-12 and it's dependent packages which are no longer needed from Ubuntu,
$ sudo apt-get remove --auto-remove libgnome-desktop-3-12
If you use with purge options to libgnome-desktop-3-12 package all the configuration and dependent packages will be removed.
$ sudo apt-get purge libgnome-desktop-3-12
If you use purge options along with auto remove, will be removed everything regarding the package, It's really useful when you want to reinstall again.
$ sudo apt-get purge --auto-remove libgnome-desktop-3-12
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