This is a long shot but let me give it a go.
Right - so my son managed to put a screw into the holder and it's stuck there. I have tried using a safety pin to extract it but it is stuck on solid. I managed to remove the wobbly part (what is it there for anyway?) at the other end. I was hoping it may be hollow through the shaft and I could try pushing the screw out from the other end. No luck. There is a little "spigot" like thing at the back and I can't get it off. I have tried my best with a plier but this won't budge.
The wobbly part: The grey outer is just a shell. Within there is a small bearing attached to the spigot by a C-clip. I have gotten the bearing off as well.
Anything else I can try. At this point I don't think I can salvage the screwdriver but want to see how this thing is put together.
MS Paint + photos here:https://imgur.com/a/g6bUuoM
It's in one piece. Bend a wire into u shape and try for the stuck screw.