Our rottweiler hunts squirrels. They tease a lot, while they're up in the trees. Once, one made the mistake of staying on the ground and chattering. Angel (the rotty) tore after it. The squirrel ran towards a clump of trees a short distance away, but Angle was faster. The squirrel was just climbing up the tree when Angel got there and ripped it right off. Tore the squirrel to shreds. Flung it, ripped it, ate it, etc.
Angel went around with that squirrel's tail in her mouth for a good two weeks.("You see this? You see what happened to this guy? This could be you, buddy.") The squirrels stopped teasing her for quite a while...
any good squirrel brain eater will tell you that this junior high conclusion is false:
The squirrel cleans each nut or seed before it is hidden to leave its scent on it so that the squirrel can find it later, even through heavy snow.
My girlfriend's male cat used to catch squirrels. Now that they're older, he and his sister don't even catch rabbits anymore.