  In this paper the structural, magnetic, and dielectric properties of
langasite compound Pb$_3$TeMn$_3$P$_2$O$_{14}$ have been investigated as a
candidate of short-range magnetic correlations driven development of dielectric
anomaly above N$\acute{e}$el temperature of ($T_N$=) 7 K. Presence of
dielectric anomaly, structural phase transition and a short range magnetic
correlation at the same temperature (at around 100 K) as well as magnetic field
dependent capacitance clearly indicate that this compound shows
magnetodielectric coupling at around 100 K. In addition, unusual behaviour is
observed in two polarization loop at room temperature and liquid nitrogen
temperature, where coercive field at liquid nitrogen temperature is larger than
room temperature. Further, $P$-$E$ loop at liquid nitrogen temperature with
different frequencies also affirm that the coercive field and remnant
polarization are firstly reduced (but very small value) but when frequency is
further increased to 15 Hz and 100 Hz, both of them are enhanced. Therefore, a
transition is observed at around 15 Hz in frequency dependent $P_r$ and $E_C$
curve, which may be usually attributed to the generalized pinning and depinning
of the dislocation arrays to polarization.
