The restaurant in question is Sherman Oaks, California's Valley Inn, where it was rumored that Clooney and Anderson recently dined together in a private room.

According to Internet reports, the pair were seen flirting as Pamela sat in George's lap and whispered
in his ear.
Since then George and Pamela have been inseparable, even walking their dogs
together.
A source revealed: "George and Pam have been determined to keep this one
quiet."
Pamela - who is currently divorcing Kid Rock after a three-month marriage -
has been recently romantically linked to R'n'B singer Usher, a Hell's Angel
and her bodyguard.