Yeah I got paper like I just ate a muffin
Muffins have those annoying papers on them that you hold onto to eat the muffin. Gambino ate the entire muffin, wrapper and all, because he gets paper.
Muffin is also slang for vagina, so CG could also be alluding to his enhanced ability to pick up women as a result of his increasing fame and affluence.
Another explanation to the line is that if you just ate a muffin, you are holding the paper it was wrapped in. So you got (have) paper.
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