To bail on a plan. Usually with a pitiful excuse. If the person does this often enough, they become the queen of flaps.
Also can use Flap
Jed - "Sorry, I know I said I'd come but I have a cold."
Sam - "You're flapping then?"
Jed - "No I just dont feel well.
Sam - "Dont flap man! It will be more boring."
Amanda - "This is the 5th time you've done this now Jed. You're becoming the queen of flaps."
Jed- "Fine I'll go."