I don't know if there's a "proper" way, but there is a way. The clip is spring steel to flex when pushed on and the points dig in to prevent coming off. I've had some luck bending the points with a small screwdriver or awl-type tool and then poping the clips free. Don't drop the clips in the gap. Gently hammer the 'points' back down flat-ish for re-use. Do a minimum amount of bending....... just enough to come off and just enough to hold on if re-used. The clips will 'fatigue' easily to too much bending.
Carefully. I use the dental picks and wedge out one side of the pointy things.. I have a magnet on a stick so it doesn’t fall where I can’t get to it.