  We consider the "Touch and Stop" cluster growth percolation (CGP) model on
the two dimensional square lattice. A key-parameter in the model is the
fraction p of occupied "seed" sites that act as nucleation centers from which a
particular cluster growth procedure is started. Here, we consider two
growth-styles: rhombic and disk-shaped cluster growth. For intermediate values
of p the final state, attained by the growth procedure, exhibits a cluster of
occupied sites that spans the entire lattice. Using numerical simulations we
investigate the percolation probability and the order parameter and perform a
finite-size scaling analysis for lattices of side length up to L=1024 in order
to carefully determine the critical exponents that govern the respective
transition. In contrast to previous studies, reported in [Tsakiris et al.,
Phys. Rev. E 82 (2010) 041108], we find strong numerical evidence that the CGP
model is in the standard percolation universality class.
