Griffin's unique style, based on an astounding technique, included a vast canon of bebop language. He was known to quote generously from classical, opera and other musical forms. A prodigious player, he was often subjected to and victorious at "cutting sessions" (a musical battle between two musicians) involving a legion of tenor players, both in his hometown Chicago with the likes of Hank Mobley and Gene Ammons, and on the road. Diminutive, he was distinctive as a fashionable dresser, a good businessman, and a well-liked bandleader to other musicians.