What happens after longstanding policies are overthrown in fierce political battles, events scholars refer to as punctuated equilibrium? Do these new policies remain static and unchanging until the next big punctuation, or do they continue to change in explainable and predictable ways? In this article, we develop a model of postpunctuation policy change grounded in theories of boundedly rational decision-making by policymakers. Uncertain about how well the new policy will perform, policymakers learn to rely on competing interest groups for information or, under certain circumstances, look to other political jurisdictions for cues on how their policies ought to be further refined. We test our predictions by studying changes in state charter school laws from 1996 to 2014. We find evidence of policy change, and even convergence, across states suggesting that policies after punctuation do change in ways explained as reactions to political pressures in an environment fraught with uncertainty.