I made this cut knurling tool many years ago when I only had a relatively flimsy lathe. Haven’t used it for sometime, decent industrial machinery is more than capable of cold forming knurls.

What was meant to be a quick job turned out to be a lengthy one ultimately worth the effort.
The three square headed bolts are for rotating the knurling wheel supports, (in opposite directions), to raise and lower the head when mounted in the tool post and lock the knurl shafts.
When I first tried to use it I the results were disappointing, for diamond knurling, it would always bias the cut one way. A bit of practice with it showed that the adjustments were critical. All was well when I got my head around that!.
When deciding on the knurl to use, straight vs diamond, I use diamond for things that need to be picked up and held, centre punch or scriber for instance. For axially assisted, a thumbscrew running along a screw thread, straight knurl.