It’s more of a vibe than a tangible thing, commonly used to describe a type of car. The cars that can be considered bitch snatchers are usually models that are 10+ years old, low to the ground, and the stereotypical Hollywood drug dealer cars.
Dude 1: I can't believe he bitch snatched my girl behind my back like that. I thought we were friends!!..
Dude 2: Now me personally, I'd move countries. Bitch snatching is irreversible my guy.
I knew something was weird when I was fucking Shaina and then I realized what it was. I turned on the light, looked down at my dick, and noticed that she had left me a big nasty snatch batch.