Here are the results of some turning trials. Material was 25mm diameter EN1A and a CCMT insert. Spindle rpm was 1200rpm,and depth of cut 0.1". I did two tests, one with a feedrate of 4 thou/rev and one at 8 thou/rev. I then measured the width and thickness of the swarf:
4 thou/rev width = 0.098" thickness = 0.007"
8 thou/rev width = 0.117" thickness = 0.010"
Somewhat inconclusive on width, but we can say that the chips do not get thinner. It would seem strange if they did as it's not clear what force would be pulling the chip away faster than it is being generated.
I also looked at the swarf generated by a 3mm wide insert parting tool:

The insert curves the swarf and in particular curls the edges to make a shallow channel. The width of the swarf was about 0.117". So only a gnats wotsit less than 3mm.
As an aside all the swarf was quite brittle, which is not a quality one would associate with EN1A. May be it's a consequence of the shearing action?
I'm aware of the claimed advantages of rear toolpost parting; my question to David was about why the forces are different in parting off as opposed to turning. If we assume a square parting tool I would expect the force vector to resolve to two orthogonal forces. There should be no force parallel to the axis of the work. Depending upon material and tool shape there might be a force perpendicular to the work axis pulling, or pushing, the tool into, or away from, the work. But the main force will be downwards. It seems all wrong to react that force upwards trying to pull the cross slide off the saddle and the saddle off the bed. The machine designer has gone to a lot of trouble to make the bed stiff in order to resist downward forces so why not make use of it?
A claimed advantage of rear toolpost parting is that the swarf falls away. That may well be true for brass and cast iron but for steel where the swarf may be slightly wider than the tool the swarf is so light that the force on it due to gravity will be negligible.
Front parting works fine for me so I'll stick with it. 
Andrew