  We give a brief review of the existing bounds on effective couplings for
excited states ($e^*, \nu^*, u^*, d^* $) of the ordinary quarks and leptons
arising from a composite model scenario. We then explore the phenomenological
implications of the hypothesis that the excited neutrino $\nu^*$ might be of
Majorana type. Recent bounds on the half-life of the $\Delta L =2 $
neutrinoless double beta decay ($0\nu\beta\beta $) are used to constraint the
compositeness effective couplings. We show that the bounds so obtained are
roughly of the same order of magnitude as those available from high energy
experiments.
