Wiktionary
eat my dust
interj. (context informal English) (non-gloss definition: An in-your-face mockery to a losing rival.)
Wikipedia
Eat My Dust (video game)
Eat My Dust is a racing video game developed by Davidson & Associates, Inc., Funnybone Interactive, and Van Duyne Engineering. It was published by Sierra On-Line on Windows in 1997.
Usage examples of "eat my dust".
Now either get in or stay out there, eat my dust, and haul your sorry ass back to the airport.