  Let $R$ be a Noetherian ring, $I$ an ideal of $R$ and $M$ an $R$-module. In
this article, we examine the question of whether an arbitrary top local
cohomology module, $\operatorname{H}^{\operatorname{cd}(I,M)}_I(M)$, is
Artinian, or not. Several results related to this question are obtained; in
particular, we prove that over a Noetherian local unique factorization domain
$R$ of dimension three, for a finitely generated faithful module $M$, a top
local cohomology module is Artinian if and only if $\operatorname{cd}(I,M)= 3$.
