Information-flow control (IFC) is a security mechanism conceived to allow untrusted code to manipulate sensitive data without compromising confidentiality. Unfortunately, untrusted code might exploit some covert channels in order to reveal information. In this paper, we focus on the LIO concurrent IFC system. By leveraging the effects of hardware caches (e.g., the CPU cache), LIO is susceptible to attacks that leak information through the internal timing covert channel. We present a resumption-based approach to address such attacks. Resumptions provide fine-grained control over the interleaving of thread computations at the library level. Specifically, we remove cache-based attacks by enforcing that every thread yield after executing an "instruction," i.e., atomic action. Importantly, our library allows for porting the full LIO library - our resumption approach handles local state and exceptions, both features present in LIO. To amend for performance degradations due to the library-level thread scheduling, we provide two novel primitives. First, we supply a primitive for securely executing pure code in parallel. Second, we provide developers a primitive for controlling the granularity of "instructions"; this allows developers to adjust the frequency of context switching to suit application demands.