From my limited knowledge repairing these ringing beasts, I would suggest that the day jumper is loose, probably due to a severe shock the watch has suffered. Does the Day appear to be somewhat misaligned, i. e., 'half-shown', too?
If it is only a matter with the day jumper, it should be an easy repair for a good watchmaker at a fair price.
I am sure Sir Bentley knows more about this!
Best,
Hermann