As said, use the largest size tool shank that you can that will still bring the cutting edge to centre height.
Especially where parting is concerned, the greater the rigidity, the less will be your problems.
If you can install, inverted, use in a rear tool post.
The cutting forces involved will be better resisted by the lathe, and the swarf will fall away, rather than remain to clog the cut and facilitate jams.
If you can have a parting tool with a central groove, so much the better. There will be two, narrow, streams of swarf, curling inwards away from the surface to the work, lessening the risk of jams.
A steady, consistent gentle feed will lessen dig ins. The tool is neither rubbing, and being blunted, not forced too heavily into the cut. Being brave, I use a power cross feed of 0.0025″/rev with an inverted, straight ground, HSS parting tool in a rear toolpost. Lubrication does help.
Jams are VERY infrequent, but do happen from time time with deep cuts
Howard