Yeah we pushin’ that, and her pussycat
I got swag out my ass so I’m usin’ that
He’s “pushing that”, ‘pushing’ meaning excelling, and ‘that’ meaning his rapping career as well as his skills. “And her pussycat” is him stating that he pushes “forces” his penis into her vagina, since Gambino has stated many times in hi song that his penis is fairly large.
“Swag out the ass” is a reference to his song “Freaks and Geeks"
"Swag out the ass, I’m the man fuck Chico”, also he has much swag, therefore he puts it to use.
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