  Chang's Conjecture (CC) asserts that for every $F:[\omega_2]^{<\omega} \to
\omega_2$, there exists an $X$ that is closed under $F$ such that
$|X|=\omega_1$ and $|X \cap \omega_1| =\omega$. By classic results of Silver
and Donder, CC is equiconsistent with an $\omega_1$-Erdos cardinal. Using
stronger large cardinal assumptions (between $o(\kappa) = \kappa^+$ and
$o(\kappa) = \kappa^{++}$), we prove that it is consistent to also require that
$X$ contains a closed unbounded set of ordinals in $\text{sup}(X \cap
\omega_2)$. We denote this stronger principle \textbf{Club-CC}, and also show
that, unlike CC, Club-CC implies failure of certain weak square principles.
