In this work, we present a nuclear magnetic resonance (NMR) study of the spin dynamics in the rare-earth-based low-dimensional molecular magnetic chains Eu(hfac) 3 NITEt and Gd(hfac) 3 NITEt (in short, Eu-Et and Gd-Et). Although both samples are based on the same chemical building block, [(hfac) 3 NITEt], their magnetic properties change dramatically when the Eu 3+ ion, which is nonmagnetic at low temperatures, is substituted by the magnetic Gd 3+ ion. The present proton NMR investigation shows that, down to the lowest investigated temperature (T = 1.5 K for Gd-Et and T = 3 K for Eu-Et), the Eu-Et chain behaves as a one-dimensional Heisenberg model with antiferromagnetic exchange coupling (J = −20 K) between s = 1/2 organic radicals, and has a T -independent exchange frequency (ω e = 2.6 × 10 12 rad/s). In the Gd-Et chain, in contrast, a competition arises between nearest-neighbor ferromagnetic coupling and next-nearest-neighbor antiferromagnetic coupling; moreover, two phase transitions have previously been found, in agreement with Villain's conjecture: a first transition, at T 0 = 2.2 K, from a high temperature paramagnetic phase to a chiral spin liquid phase, and a second transition, at T N = 1.9 K, to a three-dimensional helical spin solid phase. Contrary to the Eu-Et chain (whose three-dimensional ordering temperature is estimated to insurge at very low, T N ≈ 0.3 K), critical spin dynamics effects have been measured in the Gd-Et chain on approaching T N = 1.9 K: namely, a divergence of the proton nuclear spin-lattice relaxation rate 1/T 1 , which in turn produces a sudden wipe-out of the NMR signal in a very narrow ( T ∼ 0.04 K) temperature range above T N . Below T N , an inhomogeneous broadening of the NMR line indicates a complete spin freezing. At T 0 = 2.2 K, instead, such critical effects are not observed because NMR measurements probe the two-spin correlation function, while the chiral spin liquid phase transition is associated with a divergence of the four-spin correlation function.