  We study a supersymmetric version of the seesaw mechanism type-III
considering two variants of the model: a minimal version for explaining
neutrino data with only two copies of 24-plet superfields and a model with
three generations of 24-plets. The latter predicts in general rates for $\mu\to
e\gamma$ inconsistent with experimental data. However, this bound can be evaded
if certain special conditions within the neutrino sector are fulfilled. In case
of two 24-plets lepton flavour violation constraints can be satisfied much
easier. After specifying the corresponding regions in the CMSSM parameter space
we show that under favorable conditions one can test the corresponding flavour
structures in the leptonic sector at the LHC. For this we perform Monte Carlo
studies for the signals taking also into account the SUSY background. We find
that it is only of minor importance for the scenarios studied here.
