  Integrable spinning extension of a free particle on 2-sphere is constructed
in which spin degrees of freedom are represented by a 3-vector obeying the
Bianchi type-V algebra. Generalizations involving a scalar potential giving
rise to two quadratic constants of the motion, or external field of the Dirac
monopole, or the motion on the group manifold of SU(2) are built. A link to the
model of a relativistic spinning particle propagating on the near horizon 7d
Myers-Perry black hole background is considered. Implications of the
construction in this work for the D(2,1;a) superconformal mechanics are
discussed.
