A tethering assembly for securing a medical device includes a shaft and a wire that extends in sliding engagement within a proximal lumen, a channel, and a distal receptacle of the shaft. A retainer zone of the shaft, through which the channel extends, stops a transition segment of the wire, which extends between a proximal and a distal segment of the wire, from moving into the shaft receptacle, thereby restraining a distal-most tip of the wire from moving through a distal-most opening of the receptacle. When a projecting member of the device has entered a secure zone of the receptacle, via movement through the distal-most opening and a tapering passageway thereof, the distal-most tip of the wire, which may be spring-biased, can move distally into the passageway so that the tip blocks the projecting member from moving distally, back through the passageway.