A system for making RFID devices, comprising: a plurality of RFID components (22, 25), the RFID components (22, 25) being RFID elements or chips that are inherently flexible; a vibratory feeder containing the plurality of RFID components (22, 25), which vibratory feeder moves and orients the RFID components (22, 25) and dispenses the RFID components (22, 25) in at least one stream of RFID components (22, 25), the stream comprising a plurality of the RFID components (22, 25), the leading one of which is defined as a lead RFID component; an upstream movable support located upstream of a transfer station, and a plurality of RFID antennas in an ordered sequence on the upstream movable support; the transfer station provides a location at which the lead RFID component engages one of the RFID antennas when reaching the transfer station, whereby a combined RFID component (22, 25) and antenna is assembled; and a downstream support located downstream of the transfer station, the downstream support collects the combined RFID component (22, 25) and antenna for making the RFID device; wherein the upstream movable support and the downstream support comprise a unitary movable support that passes through the transfer station, which unitary support is a continuous-motion web, characterized by further including a pivoting pusher at the transfer station that exerts a generally downward force on the lead RFID component to assist in forming the combined RFID component (22, 25) and antenna, and wherein the pivoting pusher has a remote end portion that follows movement of the continuous-motion web while exerting the downward force on the lead RFID component. a plurality of RFID components (22, 25), the RFID components (22, 25) being RFID elements or chips that are inherently flexible; a vibratory feeder containing the plurality of RFID components (22, 25), which vibratory feeder moves and orients the RFID components (22, 25) and dispenses the RFID components (22, 25) in at least one stream of RFID components (22, 25), the stream comprising a plurality of the RFID components (22, 25), the leading one of which is defined as a lead RFID component; an upstream movable support located upstream of a transfer station, and a plurality of RFID antennas in an ordered sequence on the upstream movable support; the transfer station provides a location at which the lead RFID component engages one of the RFID antennas when reaching the transfer station, whereby a combined RFID component (22, 25) and antenna is assembled; and a downstream support located downstream of the transfer station, the downstream support collects the combined RFID component (22, 25) and antenna for making the RFID device; wherein the upstream movable support and the downstream support comprise a unitary movable support that passes through the transfer station, which unitary support is a continuous-motion web, characterized by further including a pivoting pusher at the transfer station that exerts a generally downward force on the lead RFID component to assist in forming the combined RFID component (22, 25) and antenna, and wherein the pivoting pusher has a remote end portion that follows movement of the continuous-motion web while exerting the downward force on the lead RFID component.