We prove that Schrodinger operators with meromorphic potentials have purely singular continuous spectrum on the set {E: \delta{(\alpha,\theta)}>L(E)\} where \alpha is the frequency, \theta is the phase, delta is an explicit function, and L is the Lyapunov exponent. This extends a result of Jitomirskaya and Liu for the Maryland model to the general class of meromorphic potentials.