In the end the time spent on making these things is more about problem solving on the fly for odd pieces but frequently it makes more sense to just a large enough piece of wood to avoid messing with it if possible. In the grand scheme, for most woods, one isn't losing any money turning a two inch blank down to a small knob for example. I bought the Nova 25 mm jaws for holding small parts a long time ago but still have a few of odds and ends stuffed in the bottom lathe drawer.
how would you make a jaw insert, I have thought of that but haven't figured out a way to do it
Generally I just turn a round insert and turn both a recessed channel at the midpoint and will turn a lip to register to the jaw. A hole is then drilled dead center or make a mortise to hold square stock and then quarter the piece. I put it back together and then use a rubber band in the recess to hold the insert together. The round spindle or square stock then can be inserted into insert and the piece tightened. More of use a few times and chuck thing. I aslo turned some collets from Delrin and they worked well.
Collets from basswood are doable also. After several failed attempts to turn the stupid little ebony pulls from spindle stock found that I could turn them in this fashion without issue. From the spindle stock consistently would shear off during the process.
I made Delrin jaws similar to the Nova soft jaw set to clamp things at times. Have used jam chucks a few times also.
what kind of glue would you use to glue green wood to a glue block
If I can use double sided sticky tape I go for that first but need sharp tools to avoid applying excess forces as just not much surface area on small pieces. Superglue, hot glue, and wood glue all work also depending on the wood. For small branch cut offs I just use branches that can be easily chucked in the jaws as not too worried about saving wood.