The sketch was a parody of the "simple country boy beats city slicker" genre, such as then-popular series Matlock in which an older, "country-boy" type Southern lawyer bamboozled "big city" or "sophisticated" lawyers. "Unfrozen Caveman Lawyer" upended the form by replacing the humble hero with a craven yuppie.
He then went to law school and became a lawyer. The sketch starts out as a parody of the intro for an old television show (that tells his story, similar to The Falconer) and then a theme song- "He used to be a caveman, but now he's a lawyer./ Unfrozen caveman laywer"
He is a caveman who fell into a crevice whle hunting, was frozen, and several thousand years later was found by scientists and unfrozen. He then went to law school and became a lawyer.
Of course, Cirroc, the unfrozen caveman lawyer, from SNL .#N#SNL also did a sketch about the 2007-08 OJ Simpson Las Vegas assault trial in which even the guy who'd been in an amnesiac coma, the guy stranded on a desert island, and the newly arrived alien knew that OJ was a killer.
Nordkapp Man, a member of the Global Guardians, is an Unfrozen Caveman Superhero. Within a few years of his being thawed out of the glacier he'd been trapped in for 30,000 years, Nordkapp Man (a neanderthal with superpowers) had become a university professor, a regular club-hopper, and, of course, an ice-wielding crimefighter.