A packaging assembly for storing a bioprosthetic heart valve is disclosed. The packaging assembly can include a sub-assembly comprising a valve holder configured to hold the bioprosthetic heart valve, and a clip configured to receive a shaft of the valve holder. The clip can comprise a body having an outer periphery and opposing inner edges. The opposing inner edges can define a slot in the body for receiving the shaft of the valve holder. The slot can be open at a first end of the body and extend, along a longitudinal axis of the body, from the first end to a docking aperture. The clip can further comprise a compliance feature in an interference-fit area of the slot adjacent to the docking aperture. The compliance feature can comprise a cutout adjacent to each of the opposing inner edges such that each of the opposing inner edges defines a beam within the interference-fit area.