Notwithstanding Section 135, an applicant for a clinical laboratory or limited technologist license who fails to pass the written examination two times shall not be eligible to be reexamined a third time until at least one year has elapsed from the date of the second examination. An applicant who fails the third examination shall not be eligible to take the examination a fourth time until two years have elapsed from the date of the third examination. Thereafter, the examination may not be taken more frequently than once in two years.