So now I don't bother to cut out the lining at all until AFTER sewing. Whenever I need a velvet (or velveteen, or velour) bodice, I usually first trace my pattern onto some lightweight iron-on interfacing. Then I cut out the bodice. Then I place the velvet right side down onto the lining fabric , pin it down, and cut widely around it. Then I hand-baste through the layers along the stitching line. On these bodices, the back seams and neckline get stitched first.. You'll notice that the bodice on the left has moved during basting, and now touches the edge of the lining fabric in one spot. That's not where the velvet bodice was originally positioned. But because there was extra fabric all the way around, at least the velvet is only up to the edge now, and not over it.
No more fussing with trying to make a pre-cut lining stay in place when working with velvet!