Depends on the machine specs and dataset size and number of points. One way to speed things up is to set the environment processing extent of the snap pour point tool. So if you are snapping a few points in a sub-catchment onto a flow accumulation for the whole of America then may be thats why...
Try setting the extent to the extent of your study region. This will limit the area the tool needs to process.
When you set the extent make sure snap raster is set to the flow accumulation grid to ensure snapped pour points are aligned to the underlying raster.