  Triangular lattice quasi-two-dimensional Mott insulators based on BEDT-TTF
molecule and its analogies present the largest group of spin liquid candidates
on triangular lattice. It was shown theoretically that spin liquid state in
these materials can arize from a coupling to the fluctuating charge degree of
freedom. In this work we discuss magnetic properties of one of such materials,
$\kappa$-(BEDT-TTF)$_2$Hg(SCN)$_2$Cl, which is known to be at the border of the
phase transition from Mott insulator into a charge ordered state, and
demonstrates charge order properties in the temperature range from 30 to 15~K.
Our magnetic susceptibility and cantilever magnetisation measurements
demonstrate an absence of spin order in this material down to 120~mK. We
present arguments demonstrating that the charge order melting at low
temperatures prevents ordering of spins.
