Scyliorhinus woodwardi was a small catshark and probably lived close to the seabed in early Eocene marine environments. Modern members of Scyliorhinus are generally modest-sized predators that search the bottom for a wide range of small prey, and a comparable lifestyle is a reasonable interpretation for the fossil species.

Its pointed teeth were suited to grasping small fishes and invertebrates rather than cutting large prey or crushing shells. Crustaceans and cephalopods may also have formed part of its diet.

The species is known mostly from isolated teeth, so details of its body pattern and behaviour are lost. These tiny fossils nevertheless represent an important part of the London Clay ecosystem: the numerous small sharks that hunted among the seabed fauna beneath the larger marine predators.