  The magnetic nature of the Kitaev candidate material $\alpha$-RuCl$_3$ has
been widely studied but its charge properties are less known. In the present
work, we systematically investigate the scanning tunneling
microscopy/spectroscopy (STM/STS) on few-layer $\alpha$-RuCl$_3$ in proximity
to graphite. While a single-layer $\alpha$-RuCl$_3$ has a large Mott gap of
order 2 eV in spite of charge transferring to the heterointerface from
graphite, surface of 2-monolayers (MLs) and 3-MLs samples have a reduced charge
gap of order of 200 meV. Furthermore, clear signals of lattice and charge
incommensurate super-modulations are observed in 2-MLs $\alpha$-RuCl$_3$ with
negative sample biases outside the charge gap. The dI/dV spectra indicates that
2-MLs and 3-MLs $\alpha$-RuCl$_3$ are turned from Mott insulator into charge
transfer insulator, while the charge super-modulation suggests the existence of
charge density wave induced by incommensurate dipole order.
