A cheese monkey is a monkey with cheese, or a cheese coloured (or yellow) monkey. A monkey eating cheese is a very rare site to see in some cases so this is why people use this term.
Person 1: "Hey look at that!'
Person 2: "What?"
Person 1: "It's a monkey eating cheese!"
Person 2: "Oh a Cheese Monkey?"
Person 1: "Yeah I guess"
A cheese dog or rat who is in fact black. Shares all the same qualities as a cheese rat. Cheese monkeys can be your friends or enemies.
Maddox: Sup Jimbo you cheese dog
Jimbo: No i’m a cheese monkey
meaning a cheese biscuit but made from monkey cheese ear food being scrated and fried with love
"hey, can i have monkey cheese biscuit" , "sure but you have to tell me Obamas last name first!"