TSA says "Medications in daily dosage containers are allowed through the checkpoint once they have been screened."
They're not really worried about pills anyway as prescription drugs in pill form and over-the-counter pill medications are allowed to be carried on. Their focus is more on liquids/gels and they ask (maybe require) that such medications be declared at screening points - particularly if the container exceeds the 3.4oz./100 ml. limit.
Dick Taylor