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It means you're making cash like a fat kid at a candy store. Bunce is just a fancy way to say you're raking it in, and it rhymes with earner because someone thought that was clever.
My dad earns a good bit of bunce every week. He’s like a money vacuum.
That girl earns a good bit of bunce from her gig. She’s got the beat and the bucks.
He earns a good bit of bunce selling fake watches. He’s got the hustle and the hustle.