Power = RPM x 2 x pi x Torque
A spinning prop has RPM, there is power, so there is torque.
In a turbo jet, the spinning spool has a torque associated with it, the compressor section aerodynamic forces all wrapping around the rotor in a like direction. The compressor stators all need to wrap the torsional force around the casing the opposite direction.
In the turbine section, as the combustion products force the rotors to spin, the torque wraps the rotor opposite to the wrap of the compressor. The turbine stators wrap opposite of the compressor stators. When the rotor achieves a constant speed, the torsional forces largely balance, leaving pure thrust.
In a fanjet where a few compressor stages act as a ducted fan, I would believe that torque would remain to be absorbed by the engine mounting.