Paul, Try some Low viscosity CA glue next time you get something like that, just make sure you wait a few minutes to allow all to harden before switching on machine, don't want a face full of the spray or fumes.
I have even had success with PVA on badly split pieces, forcing it through the crack with finger pressure and leaving to set before continuing beyond rough turning stage.
You can take this opportunity to fill any large voids with a suitable fine sanding dust mixture (home made wood filler) at the same time. Try Coffee Grounds or Instant Coffee Powder and CA in dark knots or Bark inclusions.