Jay-Z and Beyonce--We're So Crabby!!!

Jay Z and Beyonce got handsy at a seafood restaurant Saturday night...The Boiling Crab.

They drove down to Koreatown -- which has become a very hipster part of L.A. -- with a couple of security guards and stayed for a few hours at a table in the back. When they left, Bey gave the crowd a pageant wave.

We don't know for sure what they ate, but get real ... the most popular item on the menu is The Whole Sha-Bang -- a seasoned, shellfish variety in a bag. We're going with that.