Yes Canobi, the present set-up [part length-diameter-depth of chuck jaws] exceed border of parting off that cylinder. MAYBE right up at the jaws, nowhere else.
I'd hesitate less with a live center in the open end; scoring a line for the saw. Just set dial zero a couple hundred short of penetrating the hole, but perfect parting cutter alignment and dependable flow of coolant would be fairly critical. None of those avoid stick-out; biggest problem of all.
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