This might interest you Chris.
For the first time, I had a go at turning blue pivot steel with an insert tool on my Sherline rather than with a hand graver on my watchmakers lathe.
I used a DCMT (55 degree) insert with a 0.4 radius. The pivot steel was around 2.6mm OD and I turned it with about 15mm hanging out of the collet.
The diameters are 0.45, 1.2, 2.0 and 2.4 mm. The 3 smaller sections are 2mm long.

I experimented with different depths of cuts. It comes off beautifully with a 0.25 cut (0.5 mm total). Also finishing cuts of 0.01 mm are fine. Nice finish too.

It might not be a suitable method for completing a balance staff but you might be able to use it for roughing one out before finishing between centres.
After this, I intend to use pivot steel a lot more rather than silver steel. Amazing things those inserts! I've got to say, I'm a total convert.
Cheers, Steve
Edited By Steve Crow on 30/08/2019 16:01:45
Edited By Steve Crow on 30/08/2019 16:02:28