Jamie Foxx is Off the Hook for Alleged 2002 Penis Slapping Incident

Jamie Foxx won't face any charges for allegedly striking a woman in the face with his penis back in 2002, because the case has been closed ... TMZ has learned.

Las Vegas PD tells us ... Foxx is in the clear -- at least criminally -- because the statute of limitations of 3 years has long since run. The case was previously listed as an open investigation. As for a civil suit ... nope -- the statute of limitations has also run.

We broke the story ... the woman accused Foxx of assaulting her 16 years ago at a party at his place, when he tried to get her to perform oral sex on him. She claims she refused ... so he slapped her in the face with his penis.