How long does it take for beta blocker ti leave your body, was on metropol i was on 25 mg fir 3 months and half a pill for 1 month, is it safe to stop.Depends on the indication for what you were taking drugs.ello Beta blockers include drugs like Propranolol, Atenolol which are used in anxiety apart from a number of cardiac conditions. These drugs reduce the symptoms of anxiety and are to be taken on SOS basis.