  The last few decades have provided abundant evidence for physics beyond the
two standard models of particle physics and cosmology. As is now known, the by
far largest part of our universe's matter/energy content lies in the `dark' and
consists of dark energy and dark matter. Despite intensive efforts on the
experimental as well as the theoretical side, the origins of both are still
completely unknown. Screened scalar fields have been hypothesized as potential
candidates for dark energy or dark matter. Among these, some of the most
prominent models are the chameleon, symmetron, and environment-dependent
dilaton. In this article, we present a summary containing the most recent
experimental constraints on the parameters of these three models. For this,
experimental results have been employed from the qBOUNCE collaboration, neutron
interferometry, and Lunar Laser Ranging (LLR), among others. In addition,
constraints are forecast for the Casimir And Non Newtonian force EXperiment
(CANNEX). Combining these results with previous ones, this article collects the
most up-to-date constraints on the three considered screened scalar field
models.
