The word "cuh" is a derivative of the word "friend." The word first originated as the word "friend," then over the years it became "brother." It then became "bro," then "cousin." Soon after, the word became "cuz," then inevitably became "cuh." It's almost as if the entire word spoken in full became too much for some people to say, so laziness took over and the word was shortened. I suppose the next phase will be simply, "c." Another version of the word may as well be "unc" which is short for "uncle."
"Yo cuh, my Moms is havin' a bbq, wanna come ova?"