When copy-pasting the dependency list on a fresh install of trusty-desktop, unity-control-center gets damaged (via libcheese-gtk). Initial investigation narrowed it down to freeglut3-dev
being the first package that exhibits the issue (i.e. cannot install all dependencies in one go). [This has now shown up on 3+ machines here, and does not show up on the Travis servers, hence it must be a desktop distribution issue]
sudo apt-get install libglew-dev libcheese7 libcheese-gtk23 libclutter-gst-2.0-0 libcogl15 libclutter-gtk-1.0-0 libclutter-1.0-0 xserver-xorg-input-all
before the dependency list fixes the issue for now. May need further investigation which package actually causes the issue, and which packages in our dependency list are unneeded/can be dropped/need to be upgraded.