  Recent progress in the study of Cahn-Hilliard Navier-Stokes (CHNS) turbulence
is summarized. This is an example of \textit{elastic turbulence}, which can
occur in elastic (i.e. self-restoring) media. Such media exhibit memory due
freezing-in laws, as does MHD, which in turn constrains the dynamics. We report
new results in the theory of CHNS turbulence in 2D, with special emphasis on
the role of structure (i.e. `blob') formation and its interaction with the dual
cascade. The evolution of a concentration gradient in response to a single eddy
-- analogous to flux expulsion in MHD -- is analyzed. Lessons learned are
discussed in the context of MHD and other elastic media.
