If you're running LMDE, then yes. You will have to upgrade to the latest UP5 though which should be released any day now. The newer Cinammon has been compiled to work with Gnome 3.4 and won't work with the older version.
AMD Phenom II 64 X6 1090T Black Edition Hexa-Core
8 GB DDR2 RAM
nVidia Quadro 600 w/ 1 GB DDR3
Linux Mint Debian Edition (tracking incoming)
Optimized Liquorix Linux Kernel 3.4.x