With a clip like that, which doesn't have circular holes for a snap-ring tool, it's often a good idea to cut a circle of painter's tape a bit smaller than the element and stick it to the glass. If you end up slipping or something pops loose, it can prevent a scratch on the element. the clip, when removed, is a bit larger than the track it sits in, and spring tension holds it in. So it can take a bit of force, and that force will compress it even further, making it easy for the thing to pop out or for your tool to slip.