If it possible, mount the parting tool inverted in a rear toolpost.
There have been explanations of why this works better; but it does.
The fact that swarf falls away, reducing the chances of clogging must help.
Again the greater the rigidity, the greater chance of success.
If it needs to be said, ensure that the cutting edge is on the centreline, and that the tool has front and side clearances.
So slack gibs and nothing clamped is a recipe for failure. If things can flap about, there are very likely to be dig ins, and damaged tooling.
With front mounted parting tools, both HSS and carbide, I have suffered dig ins and damage tooling.
With a back toolpost (Home made 4 way copy of the 75 mm square front) there have been very few problems, never a broken one!. The tool is an old (Upwards of thirty years ) 3/32" wide HSS.
Often used dry, or with either gravity drip feed of soluble oil, or brush applied lubricating oil. Works so well that I now frequently use power cross feed, (0.0025" / rev ) Lacking PCF, just keep up a slow steady infeed.
Get the machine, tool, ieed rate, and cut, right and there should be few problems.
Howard