  We consider a network consisting of a single source and $n$ receiver nodes
that are grouped into equal-sized clusters. We use cluster heads in each
cluster to facilitate communication between the source and the nodes within
that cluster. Inside clusters, nodes are connected to each other according to a
given network topology. Based on the connectivity among the nodes, each node
relays its current stored version of the source update to its neighboring nodes
by $local$ $gossiping$. We use the $version$ $age$ metric to assess information
freshness at the nodes. We consider disconnected, ring, and fully connected
network topologies for each cluster. For each network topology, we characterize
the average version age at each node and find the average version age scaling
as a function of the network size $n$. Our results indicate that per node
average version age scalings of $O(\sqrt{n})$, $O(n^{\frac{1}{3}})$, and
$O(\log n)$ are achievable in disconnected, ring, and fully connected cluster
models, respectively. Next, we increase connectivity in the network and allow
gossiping among the cluster heads to improve version age at the nodes. With
that, we show that when the cluster heads form a ring network among themselves,
we obtain per node average version age scalings of $O(n^{\frac{1}{3}})$,
$O(n^{\frac{1}{4}})$, and $O(\log n)$ in disconnected, ring, and fully
connected cluster models, respectively. Next, focusing on a ring network
topology in each cluster, we introduce hierarchy to the considered clustered
gossip network model and show that when we employ two levels of hierarchy, we
can achieve the same $O(n^{\frac{1}{4}})$ scaling without using dedicated
cluster heads. We generalize this result for $h$ levels of hierarchy and show
that per user average version age scaling of $O(n^{\frac{1}{2h}})$ is
achievable in the case of a ring network in each cluster across all hierarchy
levels.
