You are right. It's a circular push-on clip that holds the metal shaft you are pointing to in place. You need to find the clip looking from the side of the small shaft and snap the clip off sideways. Even a small screwdriver, but large enough to fit over both ends of the clip should be enough to get it off. Be careful that it doesn't fly into some dark corner and you need more time looking for it, than to do all the rest. Then you can just pull the small shaft out. Removing the handle from the car will make the job a lot easier ...