  The chromoelectric polarizability of $J/\psi$ is extracted from lattice QCD
data on the nucleon-$J/\psi$ potential in the heavy quark limit. The value of
$\alpha(1S) = (1.6 \pm 0.8) \,{\rm GeV}^{-3} $ is obtained. We also comment on
the possibility of hadrocharmonia.
