Every time that I can remember when we have suggested hitting it really hard it has been successful. I don't remember anyone complaining about bearing problems afterwords. Can't say for sure if it would hurt them. If you've tried penetrating oil then I think a really sharp wack should do it. ....
John, you gave the best advice, by far. Here is the reason: When you use the knockout bar (and a hammer only if absolutely necessary) every time that you hit the back end of the drive center, the energy is being dissipated somewhere.
First let's consider the case where we only apply light to moderate taps and stuck drive center doesn't move. In this situation 100% of the kinetic energy must pass through the bearings and into the headstock structure. Since the bearing assembly is the only part of this entire energy dissipation path that has any "compliance" (engineering term basically meaning yielding under applied load), the end result is almost the same as taking a hammer and tapping directly on a bearing.
So now a reasonable person might be wondering why in the world would a hard sharp rap give better results when it seems like that would be worse. Here is why -- it's called transfer of momentum. Have you ever played billiards and made a hard shot where the cue ball hits another ball squarely? Hopefully you have noticed that the cue ball stops dead in its tracks and the other ball takes off at the same speed that the cue ball was traveling before the impact. What happens with a straight-on high impulse shot is that all of the momentum of the cue ball is transferred to the other ball. A similar thing happens when a very strong impulse blow is applied to the back end of a tapered drive center. Essentially all of he momentum is transferred tot he drive center and it pops free. Very little unnecessary energy gets dissipated in the bearing assembly.
Now, I need to explain what "impulse" means in the engineering sense (it has nothing to do with any particular shopping style). In a nutshell, an impulse is a transfer of energy in a pulse that is so short that the length of time approaches zero and the magnitude approaches infinity. We can't achieve a perfect impulse, but we can get a reasonable facsimile. Here is an example of two scenarios:
- In the first case, we use a very heavy sledge hammer and swing it slowly to hit the knockout bar
- In the second case, we use a typical knockout bar that weighs a bit less than one pound and swing it at very high velocity
We have sized the mass and speed of the sledge hammer and knock bar so that the kinetic energy is the same. The difference is that for the first case the energy is transferred over a long period of time with a certain peak magnitude, while in the second case, the energy is transferred in a very short length of time at a much greater peak magnitude. The total energy is the same for both cases, but the results will be different. The sledge hammer is likely to smash the headstock while the knockout bar will be more likely to pop out the stuck drive center. The main idea here is to swing the knockout rod as fast as you can. When the drive center pops loose, it will be flying at very high speed so be prepared to catch it and watch out for the sharp edges.
I have tried to avoid getting technical and mentioning anything to do with the M-word (math).
Turn it with a wrench!
turning is much easier than beating it out. I have not seen one that won't turn free.
Why did it sticking he first place? Dust or wood chips re the most common cause cleans the center and the taper.
Also, check with your pinky finger for any scoring in the taper.
Scoring can be remove with some stiff 80 grit sand paper rolled into a taper. Turn on the lathes and run it in and out.
Al
You're scaring me, Al.

We left brain technical geeks fear right brain creative artists. You are correct that you can usually "wring" it loose, but at the cost of causing more galling on both the drive center and in the spindle socket.
You are correct about the root cause of sticking. The dust dirt, grit, and grease do not directly cause sticking, but they are the reasons that a drive center will spin. Once a drive spins, it's too late. While it may not be stuck in mild cases, damage has been done and the mating tapered surfaces will be galled which means that they will no longer fit together properly.
Using 80 grit sandpaper is scaring me even more than wrenching out the stuck drive center. The tapered parts are supposed to mate together within 0.0005" and have a nearly polished finish to achieve the necessary metal-to-metal bond.
... take a small hammer and tap on the side of the spur drive head part next to the spurs ....
Keeping them clean and with light oil and not trying to put so much pressure with the tail stock will help it from not getting so tight
good luck
Tapping on it like that is risking causing Brinnelling to the bearings.
Keep both surfaces clean, yes! However, never ever oil the tapered surfaces -- doing so will only serve to reduce the friction force that keeps them from slipping.
It is good advice about not applying excessive tailstock pressure, but not for the reason cited. The reason that it should not be done is to avoid damaging the bearings. If you are finding that the drive center is sticking because of tailstock pressure, it means that the lathe spindle bore and/or drive center shank are already damaged. If they are in good condition, this will not happen.