Use a spudger to pry out the top edge of the dispenser assembly.

Once you've created a gap, use your fingertips to pull the edge downward.

Use additional spudgers to unfasten the clips securing the dispenser assembly to the refrigerator door.

Optionally, you may use a flat-blade screwdriver to assist in this process. Be careful not to damage the door; you may scratch the door surface or dent the rim of the dispenser opening.