First of all, why do you need to install cheese from source?
Is there anything special about the 3.8 version?
IF not, open the ubuntu software center and search for cheese, click on install, enter your admin password, that's it.
Or install GUVCVIEW. It is in the software center also.
Or open you rterminal and type
sudo apt-get install cheese
If you really need to install cheese 3.8 from source, my best guess is that you need all the essentials for building from source. You can go here and hav ea look, but no gurantee! http://forums.linuxmint.com/viewtopic.php?f=90&t=118811
sudo apt-get install guvcview
sudo apt-get install build-essential gdk-pixbuf2.0-dev libghc-gstreamer-dev libgstreamer-plugins-base1.0-dev libgstreamer-plugins-bad1.0-dev libcairo-dev libghc-pango-dev libclutter-1.0-dev libclutter-gst-dev libclutter-gst-2.0-dev libclutter-gtk-1.0-dev libcheese-dev libcheese-gtk-dev libgnome-desktop-3-dev libgee-devlibrsvg2-dev gnome-video-effects-dev itstool