Here's a couple of examples from early advertisements: Some of the most common seem to be Crescent Moon and Star, Fleur de Lis, Iron Cross, Clover/Shamrock, and of course letters for people's initials.
They were made featuring a wide variety of symbols. These kinds of compression-molded inlaid chips are the forerunners of the modern casino clay chips we know and love. USPCC and Burt manufactured chips that were sold by many different distributors and retailers under their own name, including Mason & Co. Chips of this type were manufactured by the US Playing Card Company, and possibly some other competitors or successors (such as the Burt Company) but I'm not certain about that. More generally, they're compression-molded inlaid chips with die-cut inlays: complex shapes cut out from a single piece of colored material, as opposed to circular inlays with a full-color printed design. Paranoid might be the brand name of the material that they were made out of, or it might be the brand name of the chips themselves - I've seen claims made that it's the material, but I haven't seen a good source to back up those claims. As said, those sorts of chips are known as 'Paranoid' chips.