Bill - I think your problem is that you are finishing between bushings on a mandrel, and the CA is adhering to the bushings. You can usually snap the piece away from the bushings, but sometimes that fractures the acrylic coating. One solution that I've read about is to use the tip of a skew to gently cut through the CA right at the end of the finished barrel. My experience with that is that it works sometimes, but sometimes the skew slips and cuts into the barrel.
The solution that I have been using is to replace the steel turning bushings with a set of HDPE bushings. This does two things. First, the HDPE bushings are home-made and no attempt was made to duplicate the actual turning bushings. Instead, they are tapered so that they slip inside the end of the pen tube, but leave a gap at the end. As a result, therere is less tendency to actually glue them to the body of the pen. Yes, some CA will accumulate at the end of the barrel, but that can be dealt with later.
The other thing is that CA will dry on HDPE, but it doesn't actually adhere to HDPE. So when I take this apart after finishing, the plastic bushings snap off much easier. That does leave a rough edge on the glob of CA at the end of the body, but it isn't cracked back onto what will be the finished pen body.
I combine this with the use of a sanding mill on the finished pen. My sanding mills are also homemade - simple spindle turnings with a bolt embedded in one end. I chuck the bolt into a drill and either file or sand it down to a diameter that fits inside the pen tube. Then, I glue the bolt into a billet and, using a Jacobs chuck, turn the billet into a handle. I leave the face of the mill around the bolt flat. Finally, I cut hole in a small piece of sandpaper, and slip it over the bolt with a bit of thick CA between the sandpaper and the smooth end. To use this, I simply insert the sized bolt into the end of the tube, and spin the handle to sand off that blob of excess CA.