  We extract the next-to-next-to-leading order results for spin-flip
generalized polarizabilities (GPs) of the nucleon from the spin-dependent
amplitudes for virtual Compton scattering (VCS) at ${\cal O}(p^4)$ in heavy
baryon chiral perturbation theory. At this order, no unknown low energy
constants enter the theory, allowing us to make absolute predictions for all
spin-flip GPs. Furthermore, by using constraint equations between the GPs due
to nucleon crossing combined with charge conjugation symmetry of the VCS
amplitudes, we get a next-to-next-to-next-to-leading order prediction for one
of the GPs. We provide estimates for forthcoming double polarization
experiments which allow to access these spin-flip GPs of the nucleon.
