  We report here a comprehensive study on structural, magnetic, caloric and
electronic properties of the monoclinic phase of double perovskite compound
Tm2CoMnO6 (TCMO) in its polycrysttaline format. Magnetic measurements confirm
the presence of thermal hysteresis in magnetization indicates towards a first
order magnetic transition at its critical point (Tc). Our study finds the
metamagnetic jump in isothermal M(H) at 2 K that signifies the rare earth spin
allignement in loop cycling above a certain critical field. This jump is only
present at very low T that dies out as the T raises. M(H) measurements at
different temperature stipulate that Co2+ and Mn4+ do not order completely
inspite of strong ferromagnetic correlation that is against the previous study
on TCMO. The concurrence of structral, magnetic and dielectric anomaly at Tc
suggest its possible magnetostructural copuling. We found a high dielectric
constant (2700) in TCMO and the Maxwell-Wagner electrial loss spectrum analysis
hints towards a long range hopping mechanism. Sizeable magnetocaloric effect in
terms of entropy change across the transition temperatures has been obtained
from heat capacity data that clearly corroborates its intrinsic behaviour.
