The NMR spin-lattice proton relaxation dispersion TI(VL) of the liquid crystal butylcyano-phenylcyclohexane are studied over several decades of Larmor frequencies at different temperatures in the nematic mesophase. The results show that the order fluctuation of the local nematic director contribution to Tl(VL) undergoes a transition between two power regimes: from T-1(V-L) proportional to nu (L) (1/2) to nu (L) alpha (alpha approximate to 1/3) on going from low to high Larmor frequencies.