I remember the Clock and of course the Circle Drive, but Beany's was gone before my time. Judging from the video, it appears Beany's was at the corner of PCH and Alamitos Blvd.
Nearby was the Cinnamon Cinder (CC). Many acts played there over the years: Ike and Tiny, Righteous Bros. Joe Turner, Beach Boys, James Brown, John Lee Hooker etc.
I lived in Hawaiian Gardens when the local language was English. My brothers and I played on the 605 Fwy when it was being built.
The Candlewood Country Club in La Mirada, not far from where I live, was called the Clock Country Club in the 1950's. It was owned by the restaurant chain. Back then, it was in the middle of nowhere, but the area was soon developed.
Alamitos St. is way West of that. It was Ximeno Ave. at the Circle, and then in the sixties came Cinnamon Cinder.
My favorite in that Circle area was Oscars with the Hot deep dish peach pie, and hamburgers. Again that would be later in the sixties.
BTW I grew up in Belmont Heights...Fremont, Jefferson, Wilson.