07/19/2011 at 10:20 AM EDT
Looks like they're still on! Leonardo DiCaprio
and Blake Lively
went for an affectionate shopping trip together at Solstice Sunglass Boutique in Santa Barbara, Calif., where the actor tried on Carrera X-cede shades. "Blake gave Leo her final approval on each pair he tried on," a source says, adding that the two "did not let go of each other the entire time." The two stuck around for about 10 minutes, but rushed out of the store once a crowd noticed them.