  In the approach to hadronic flavour symmetries based on the q-algebras
U_q(su_N) and proved to be realistic, the known construction of U_q(su_N) in
terms of anyonic oscillators residing on 2d lattice is utilized. Anyonic
Fock-like realization of basis state vectors is given for baryons (3/2)^+ from
the 10-plet of U_q(su_3) embedded, via 20-plet of U_q(su_4), into the
"dynamical" representation [4000] of U_q(su_5). Within the anyonic picture, we
reobtain the universal q-deformed decuplet mass relation
M_\Omega-M_{\Xi^*}+M_{\Sigma^*}-M_{\Delta}=[2]_q (M_{\Xi^*}-M_{\Sigma^*}),
where [2]_q=q+q^{-1}=2 cos{\theta}. Consistency with data for baryon masses
requires \theta\simeq\frac{\pi}{14}. As a result, anyons with anyonic
statistics parameter \nu = 1/14 can be put into correspondence, at least
formally, with the constituent quarks of decuplet baryons.
