Section 56E. Any veterinary student, enrolled in an accredited school or college of veterinary medicine, who is engaged in clinical training under the direct supervision and control of a veterinarian duly registered under the provisions of section fifty-six D, or under the direct supervision and control of a veterinarian otherwise licensed to practice in the commonwealth and who is duly registered with an accredited school or college of veterinary medicine under its clinical training and externship programs shall be exempt from the veterinary licensing provisions of sections fifty-five to fifty-nine, inclusive.