  Even a small amplitude charge-density-wave (CDW) can reconstruct a Fermi
surface, giving rise to new quantum oscillation frequencies. Here, we
investigate quantum oscillations when the CDW has a finite correlation length
$\xi$ -- a case relevant to the hole-doped cuprates. By considering the Berry
phase induced by a spatially varying CDW phase, we derive an effective Dingle
factor that depends exponentially on the ratio of the cyclotron orbit radius,
$R_c$, to $\xi$. In the context of YBCO, we conclude that the values of $\xi$
reported to date for bidirectional CDW order are, prima facie, too short to
account for the observed Fermi surface reconstruction; on the other hand, the
values of $\xi$ for the unidirectional CDW are just long enough.
