what happened?
What cycle or function are you doing when it 'hangs'?
Most likely a flakey limit switch.
Were you doing a tool change?
Were you clamping / unclamping.
Moving tailstock?
Axis very close to limit? (not very likely)
Barfeeder operation. (if you have one)
Software chuck boundary limits?
Oiler not working or out of oil.
Door switch?
Low hydraulic pressure?
Intermittent foot switch.
Faulty tape reader. You can unplug multiwire cable at the tape reader and machine will still function.
ANYTHING with limit switch contacts.
When some operation that moves something operates a limit switch, if the switch is supposed to change, the machine will wait until it changes, or in some cases time out because the switch never changed as expected.
Check all of the above, and see if certain operations lead up to the fault.
Super X3. 3600rpm. Sheridan 6"x24" Lathe + more. Three ways to fix things: The right way, the other way, and maybe your way, which is possibly a faster wrong way.