Lakers' Jordan Clarkson On Lamborghini Date with Hailey Baldwin (VIDEO)

Startin' to look like things are serious between Lakers guard Jordan Clarkson and model Hailey Baldwin -- the two hit up one of the hottest restaurants in L.A. together Thursday night .. in a Lambo.

The point is ... everyone in town knows Catch is a place you go to be seen -- especially when you pull up in a whip that costs more than most homes.

So, this could have been the official, "We're Going Public" night.

Clarkson and Baldwin have been spending a lot of time together lately -- and were spotted holding hands on New Year's Eve.