  In this note we discuss some aspects of the frame formulation of conformal
higher spins in three dimensions. We give some exact formulae for the coupled
spin two - spin three part of the full higher spin theory and propose a star
product Lagrangian for all spins from two and up. Since there is no consistent
Lagrangian formulation based on the Poisson bracket we start the construction
from the field equations in this approximation of the star product. The higher
spin algebra is then realized in terms of classical variables which leads to
certain important simplifications that we take advantage of. The suggested
structure of the all-spin Lagrangian given here is, however, obtained using an
expansion of the star product beyond the Poisson bracket in terms of
multi-commutators and the Lagrangian should be viewed as a starting point for
the derivation of the full theory based on a star product. How to do this is
explained as well as how to include the coupling to scalar fields. We also
comment on the AdS/CFT relation to four dimensions.
