  We present the optical linear polarization observation of stars towards the
core of the Czernik 3 cluster in the Sloan i-band. The data were obtained using
the EMPOL instrument on the 1.2 m telescope at Mount Abu Observatory. We study
the dust distribution towards this cluster by combining the results from our
polarization observations with the data from Gaia EDR3, WISE, and the HI,
$^{12}$CO surveys. In addition, we use the polarimetric data of previously
studied clusters within 15$^\circ$ of Czernik 3 to understand the large scale
dust distribution. The observational results of Czernik 3 show a large range in
the degree of polarization, indicating that the dust is not uniformly
distributed over the plane of the sky, even on a small scale. The distance to
the Czernik 3 is constrained to $3.6\pm0.8$ kpc using the member stars in the
core region identified from Gaia EDR3 astrometry. This makes it one of the most
distant clusters observed for optical polarization so far. The variation of
observed degree of polarization and extinction towards this cluster direction
suggests the presence of at least two dust layers along this line of sight at
distances of $\sim 1$ kpc and $\sim 3.4$ kpc. There is an indication of the
presence of dust in the centre of the cluster, as seen from an increase in the
degree of polarization and WISE W4 flux. The large scale distribution of dust
reveals the presence of a region of low dust content between the local arm and
the Perseus arm.
