A tensioner having a closing-type torsion spring that is employed to bias a pivot arm about a pivot shaft. The tensioner includes a damper, which contacts an inside surface of the torsion spring to dampen torsional vibration transmitted through the torsion spring, and a one-way clutch that is configured to permit unencumbered rotation of the pivot shaft in one rotational direction but to resist rotation of the pivot shaft in an opposite direction.