An apparatus for adjustably mounting an arrow rest wherein a pivot shaft is mounted within a through bore of a sleeve, so that the pivot shaft can pivot or rotate between a normal rest position and a maximum forward position. The sleeve is mounted with respect to a bracket that is fixed with respect to an archery bow riser. Opposing end portions of the pivot shaft extend beyond corresponding end surfaces of the sleeve. One of the end portions of the pivot shaft is housed within an end cap bore. A spring has one end foot attached or mounted with respect to the end cap and an opposing end foot attached or mounted with respect to the one end portion of the pivot shaft housed within the end cap bore. A pair of keeper elements and a wave washer or other spring element are attached to or mounted with respect to the pivot shaft to significantly reduce horizontal movement or longitudinal play of the pivot shaft with respect to the sleeve and thus of the arrow rest within a corresponding shooting window.