  We study a mechanism of generation of Majorana neutrino mass due to
spontaneous breaking of chiral symmetry (SBCS) accompanied by the formation of
a quark condensate. The effect of the condensate is transmitted to the neutrino
sector via Lepton-Number Violating (LNV) lepton-quark dimension-$7$ operators
known in the literature as an origin of the neutrino-mass-independent mechanism
of neutrinoless double-beta ($0 \nu \beta \beta$) decay. The smallness of
neutrino masses is due to a large ratio between the LNV scale and the scale of
the SBCS. This is a new realization of the seesaw mechanism, which we dub the
Quark Condensate SeeSaw (QCSS). We examine the predictions of the QCSS for $0
\nu \beta \beta$-decay and neutrino mass spectrum. We will show that our model
predicts the normal neutrino mass ordering and narrow ranges of the neutrino
masses.
