The only difference is that with “comp time,” workers don’t get the time-and-a-half pay they would with overtime. “Comp time” isn’t “paid leave” in the traditional sense, because now the employee is the one paying. …and more flexibility to employers. Say you want to take your comp days off. You go to your boss and request an afternoon off to take care of a sick child, for instance. Under “comp time,” the boss can deny your request outright.