If you have access to some water pipe vice grips they will allow you to hold the chuck as you unscrew.
Go to screw it as if you tighten it then unscrew.
Give the screwdriver a tap head on .
3 tips on getting screw out.
Getting the chuck off the spindle, put Allen key into chuck and tighten it. Then give it a knock and will undoo
EDIT: i wrote this reply quickly hence poor grammar and short sentences awaiting my cnc router to finish machining more parts
Bookmarks