A challenge of observing the Sun with ALMA is that the primary beam covers only a small region on the Sun and is therefore filled with a complex radiation pattern, which evolves on extremely short time scales of only seconds and below. Fully exploiting ALMA's possibilities therefore requires imaging at very high cadence. Accordingly, there is much potential for improving the solar observing modes and post-processing of data. The development study "High-cadence imaging of the Sun", which started in 2018, aims at developing a high-cadence imaging capability by employing realistic test cases based on state-of-the-art numerical simulations, the Solar ALMA Simulator tool, and a solar simulation pipeline. Comparisons between the input and output of the simulation pipeline will reveal how well imaging at high cadence performs and how to optimize it. We present an overview of the study and its current state.