  Magneto-rotational dissociation is the decay, by the way of tunneling, of a
rotating bound state in the magnetic field. The corresponding probability was
recently computed in the quasi-classical approximation using the Imaginary Time
Method and was shown to increase with the angular velocity and decrease with
the magnetic field strength \cite{Tuchin:2021lxl}. This letter reports the
calculation of the quantum correction to the dissociation probability
associated with the spin of the tunneling particle. The quasi-classical motion
of spin is described by the Bargmann--Michel--Telegdi equation in the rotating
frame. It is shown that the spin contribution significantly increases the
dissociation probability. Applications to the Quark-Gluon Plasma are touched
upon.
