Nice conversion! I use my tailstock a lot; a fast locking system helps.
Your chips show no color to a mild blue so you're close. Stringy chips can become involved in the workpiece and damage the surface finish so I try to alter the speed, depth of cut and feed rate to try to get the chips to break before they get too long. With some metals that's really a challenge. Aluminum and stainless steel are very hard to get to break off the chips. I have a G9972Z which is essentially a longer bed G0602. I cut at .020"-.030" DOC all the time so you may have some rigidity issues.
It may be worthwhile to adjust the cross slide and compound gibs. I prefer the cross slide to be adjusted to have a little bit of a draggy feeling as I crank it in and out. Not enough to make it hard to turn the handwheel but enough that there is slight resistance. Since the compound is rarely moved much at a time, I like its gib to be snug enough to require moderate effort to turn the handwheel. If the gibs are loose the cutting tool can move around and that will cause chatter. If you can feel your stand vibrating, that can exacerbate chatter as well, setting up resonant vibrations. Another thing I did to help with rigidity is make a Clough42 compound clamp. It's not a miracle cure-all but it does help.
The brand and coating of the TCMT insert can wildly affect chatter, surface finish quality and how chips break, too. Since some of your strings are blue that indicates that the speed is about right.