  We investigate thickness-dependent transformation from a paramagnetic to
ferromagnetic phase in Cr$_{2}$Ge$_{2}$Te$_{6}$ (CGT) in bulk and few-layer
flake forms. 2D Ising-like critical transition in bulk CGT occurs at $T_{c}$ =
67 K with out-of-plane magnetic anisotropy. Few-layer CGT on hBN/SiO$_{2}$/Si
substrate displays the same $T_{c}$ but also exhibits a new critical transition
at $T^{\prime}_c$ = 14.2 K. Here, critical scaling analysis reveals the
critical exponents differ significantly from those in bulk and do not align
with the known universality classes. Our Density Functional Theory (DFT) and
classical calculations indicate competition between magnetocrystalline and
dipolar anisotropy emerges with reduced dimensions. The observed behavior is
due to minor structural distortions in low dimensional CGT, which modify the
balance between spin-orbit coupling, exchange interactions and dipolar
anisotropy. This triggers a critical crossover at $T^{\prime}_c$. Our study
shows the emergence of a complex interplay of short- and long-range
interactions below $T^{\prime}_c$ as CGT approaches the 2D limit.
