Section 132. The tenure provisions of sections one hundred and twenty-six to one hundred and thirty-one, inclusive, shall be limited as follows:
(a) Said provisions shall not apply to persons whose tenure in office is terminated by a law enacted subsequent to his commencement of tenure.
(b) Said provisions shall not prevent abolition of any municipal office or the transfer of any of the powers and duties of any office.
(c) Said provisions shall not prevent termination of tenure upon an appointive office becoming elective. Any person's length of service in an elective office which becomes appointive, however, may be credited to his eligibility period for tenure if he succeeds himself in such office.
(d) Said provisions shall not extend the time at which an officer is otherwise required to retire.
(e) Said provisions shall not waive residency requirements in determining tenure eligibility.