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We report ac susceptibility and high-frequency electron spin resonance (ESR)measurements on the geometrically frustrated compoundBa$_3$NbFe$_3$Si$_2$O$_{14}$ with the N\'{e}el temperature $T_N=27 K$. Anunusually large frequency-dependence of ac susceptibility in the temperaturerange of 20 - 100 K reveals a spin-glass-like behavior, signalling the presenceof frustration related slow magnetic fluctuations. ESR experiments show amulti-step magnetic and spin chirality ordering process. For temperatures above30 K, the weak temperature dependence of the ESR linewidth $\DeltaH_{pp}\propto T^{-p}$ with $p=0.8$ evidences the development of short-rangecorrelated spin clusters. The critical broadening with $p =1.8$, persistingdown to 14 K, indicates the coexistence of the short-range ordered spinclusters within a helically ordered state. Below 9.5 K, the anomalously largedecrease of the linewidth reveals the stabilization of a long-range orderedstate with one chirality.

AC Susceptibility and Electron Spin Resonance Studies of Spin Dynamics in n Ba$_3$NbFe$_3$Si$_2$O$_{14}$: A Geometrically Frustrated Lattice