A door component has a controllable damping device and contains a magnetorheological fluid. Two connection units are movable relative to one another. One of the two connection units is connected to a support structure and the other one to a pivotable door unit. The device damps a movement of the door unit between a closed position and an open position in a controlled manner by way of a control unit. The magnetorheological damping device has a piston unit and a cylinder unit surrounding the piston unit. The piston unit divides a cylinder volume into two chambers. The piston unit is equipped with a first one-way valve. The two chambers are connected together, via an external return channel equipped with at least one controllable magnetorheological damping valve, to form a one-way circuit. When the piston unit moves in and out, the magnetorheological fluid flows through the piston unit in the same flow direction.