Hi Flame,
Welcome along!
I've not turned cues but I've turned a lot of Walking Canes and I can offer a few tips on turning long thin stuff:
1- Mounting, hold it in either a chuck or screw chuck securely, that way you don't need to apply too much pressure on the ends as this encourages flex
2- Turn slowly, around 700 - 900rpm is best. Much faster and you get a lot of vibration
3- Don't bother with the Skew. Best off to use a Spindle Roughing Gouge, light cuts with a sharp tool. It is far more controllable than the skew. I am normally a Skew fan but for this job, where you get unexpected flex and vibration, the bulk and stability of the SRG is a better option
4- Finish with large sheets of abrasive, around 6" wide and a foot or 2 long, moving it along the surface. This helps to achieve a really good finish. Don't be affraid to start coarse, 80g should do it!!
HTH
If you need any more tips just shout!
Cheers
Richard