  We study the energy or TMD evolution of the three leading twist dipole type
T-odd gluon TMDs inside a transversely polarized nucleon, all of which at small
$x$ dynamically originate from the spin dependent odderon. Their energy
dependence presents a unique opportunity to study the polarization dependent
TMD evolution in the small-$x$ region, where the distributions are identical up
to a normalization constant at tree level. We further propose to study their
evolution via azimuthal asymmetries in virtual photon-jet production in
polarized proton-proton collisions at RHIC. We present model predictions for
the asymmetries as functions of the large jet or photon transverse momentum and
$Q^2$ which set the hard scales in this process.
