The cooler is probably experiencing an airlock. To release the airlock follow the below instructions:
Remove the filter of the cooler. See directions and pictures below on how to remove the filter based on the cooler’s make.
Clover Bottled Water Cooler – Simply take the filter off, and let it dry before placing it back on the cooler.
Sunroc Bottled Water Cooler – Lift the top and take the filter off. Let it dry before putting back on the cooler.
Oasis Bottled Water Cooler – Simply take the filter off and let it dry before placing it back on the cooler.
Once the filter is dried out and back on the cooler, place the bottle back on the cooler.
Try dispensing water out of both spigots.