A derogatory term for one who collects government assistance. So named because the U.S. Government, between the 1960s and 1990s, ran a popular public assistance program for welfare and food stamp recipients whereby recipients were given blocks of processed "government cheese".
What do you cheese eaters care about taxes; you don't even pay taxes!
A "cheese eater" is very coomonly used in the Military as someone who kisses up to the boss, an a** kisser. This person is looking for praise, to curry favor.
Sgt. Smith is such a cheese eater, he brings coffee every morning only for the officers.