Tenn. Code § 8-18-105
In reckoning the time of the terms of appointees to all offices, the terms of which are limited to two (2) years and are filled exclusively by executive appointment, reference shall be had to the beginning of the term of the executive making the appointment. Regardless of the time of making such appointment, it shall not be held to extend beyond the expiration of the term of the executive making the same, but the term of such appointee shall expire with the term of the executive making the appointment. This section shall not be construed to prevent such appointee from holding such office until a successor is appointed and qualified. This section does not apply to executive appointments to fill vacancies in unexpired terms of elective offices, nor does it apply to offices purely appointive where the term of such office is more than two (2) years.
T.C.A. § 8-18-105