Kylie Jenner & Tyga -- Get Locked Out on Date Night

Kylie Jenner and Tyga’s first public date was pretty exciting -- and not only because he's a 25-year-old rapper and she's a 17-year-old whatever.

The couple cruised out of Spago, hoping to escape quickly ... right up until the valet locked himself INSIDE their Lambo! Oh, and also -- HE’S 25 AND SHE’S 17!