Other forms: metes out
To mete out is to distribute, the way you mete out scoops of ice cream one at a time, to make sure all your friends end up with the same amount.
When you take your dog out on a leash, you probably mete out her treats, making them last for the whole walk. Another way to mete something out is to administer a disciplinary measure or justice: "The gym teacher tended to mete out punishment by making everyone do pushups." This phrase comes from mete, "to allot," from a root meaning "to measure out" or "to take appropriate measures."