In a first period where the Terriers found shots –on-goal hard to come by, Kindersley scored the only goal with Jaxon Georget hitting the scoresheet at 8:29.
The Terriers found the goal to knot the score off the stick of Carson Henry at 8:32 of the second period.
But, just over a minute later, at 9:44, Georget was back on the sheet with his second of the contest to reassert a lead for the Klippers at 2-1.
The Terriers would tie the game at 2-2 before the middle stanza was over as Clay Sleeva scored at 12:01.
The third period would decide nothing as neither team managed a goal, sending the teams to a five-minute overtime.
But, like the third frame, extra time was a scoreless affair, sending the game to a shoot-out to final determine a victor. Where the visitors would finally get a 3-2 road win.
Kael DePape was in net for Yorkton facing 31-shots in the loss.
Brett Sweet guarded the net for the Klippers facing 25-shots for the win.
