He usually 'screens his (telephone/phone) calls'. [=he usually lets his answering machine answer his phone so that he can hear who is calling before he decides to talk to whoever it is]
someone who 'screens' luggage at the airport [=someone who examines the luggage of airplane passengers in order to make sure that nothing dangerous is brought onto an airplane]
A committee will 'screen' candidates for the job, but the final hiring decision will be made by Ms. Brown.
(..) Bang. First shot. Katniss, tell us what happened here. We were all standin' right here watchin' the Games when you fired that arrow. The screens just went dark. Nobody had any idea what happened. Peacekeepers forced us back into our homes. For maybe an hour, the town was just dead quiet. (..)2014 The Hunger Games: Mockingjay - Part 1