35Cl NMR spectra and relaxation measurements in the triangular two-dimensional lattice of VCl2, with antiferromagnetic (AF) interactions between V2+ S=3/2 ions are presented. The spectra are characteristic of the 1/2 to or from -1/2 central line, broadened by the powder distribution of the second-order quadruple interaction; the electric field gradient at the Cl site is derived The 35Cl relaxation is driven by the dipolar hyperfine interaction with the magnetic ion, and from the temperature dependence of the relaxation rate, W, information on the correlated V2+ spin dynamics is obtained. The absolute value of W and its temperature dependence for T to TN+ are not consistent with the behaviour expected for conventional 2D Heisenberg systems. It is argued that peculiar spin dynamics, similar to that related with Z2 vortices, with a possible crossover to a 3D or a 2D Ising system, may be responsible for these effects.