  We investigate the specific heat $C_V$ at constant volume in the normal state
of a $p$-wave interacting Fermi gas. Including $p$-wave pairing fluctuations
within the strong-coupling theory developed by Nozi\`eres and Schmitt-Rink, we
show that, in the weak-coupling side, $C_V$ exhibits a dip-hump behavior as a
function of the temperature. While the dip is associated with the pseudogap
phenomenon near $T_{\rm c}$, the hump structure is found to come from the
suppression of Fermi quasiparticle scattering into a $p$-wave molecular state
in the Fermi degenerate regime. Since the latter phenomenon does not occur in
the ordinary $s$-wave interacting Fermi gas, it may be viewed as a
characteristic phenomenon associated with a $p$-wave pairing interaction.
