  We explore a spin Josephson effect in a system of two ferromagnets coupled by
a tunnel junction formed of 2D time-reversal invariant topological insulators.
In analogy with the more commonly studied instance of the Josephson effect for
charge in superconductors, we investigate properties of the phase-coherent {\it
spin} current resulting from the misalignment of the in-plane magnetization
angles of the two ferromagnets. We show that the topological insulating barrier
offers the exciting prospect of hosting a {\it fractional} spin Josephson
effect mediated by bound states at the ferromagnet-topological insulator
interface. We provide multiple perspectives to understand the $4\pi$ periodic
nature of this effect. We discuss several measurable consequences, such as, the
generation of a transverse voltage signal which allows for purely electrical
measurements, an inverse of this effect where an applied voltage gives rise to
a transverse spin-current, and a fractional AC spin-Josephson effect.
