Whenever you use a morse taper fixture for an application other than between-centers turning, its a good idea to have a drawbar to hold that taper in the spindle.
For example, if you are using an MT Jacobs chuck for drilling, the workpiece is effectively 'between centers' when you are actually drilling the hole. But when you are pulling the workpiece away from the headstock to withdraw the drill bit from the hole, there is a risk that the lateral force could overcome the friction holding the taper in the headstock spindle, and instead of pulling the bit out of the hole, you pull the Jacobs chuck out of the spindle. And if it is rotating at the time, that can be dangerous.
Cip Mendes did a YouTube video a few days ago illustrating how he made a drawbar for his Jacobs chuck. It's really very simple (and the stuff that you have to buy for the project is inexpensive), but the increment in safety is very significant. Here's a link to Cip's video:
https://www.youtube.com/watch?v=wkbM1aXTGAA
One thing to be aware of Jacobs chucks often have TWO tapers - an MT taper to mount the chuck arbor in the spindle of the lathe, and a second taper (typically JT33) that fits the arbor into the body of the chuck. A drawbar will hold the arbor in the headstock, but it is still possible to break that JT33 taper loose when withdrawing a bit. DHMHIKT.
The point is that the safer way to use a Jacobs chuck on a lathe is to mount it in the tailstock, mount the workpiece on the spindle using whatever fixing you want (a scroll chuck, a glue block, a collet chuck, etc), and then drill by spinning the workpiece against a stationary drill bit while holding the Jacobs chuck with your left hand to keep it from spinning.