A device includes a clamp and a sensor. The sensor can be permanently attached to the clamp and tissue by the force exerted by the clamp. The clamp includes a first jaw member and a second jaw member. The first jaw member has a jaw face and the second jaw member has a complementary face. The second jaw member is held in alignment with the first jaw member by a joint. The joint has an elastic member configured to exert a compressive force between the jaw face and the complementary face. The joint is configured to allow movement of the jaw face relative to the complementary face in directions corresponding to pitch, roll, yaw, and heave. The compressive force is distributed over a surface of the jaw face. The sensor is coupled to the jaw face or held in place by the compressive force of the jaw face. The sensor is configured to generate a sensor signal corresponding to a physiological parameter of tissue proximate the jaw face.