Context and motivation.We present a conceptual and phenomenological overview of scalar-field frameworks linking dynamical dark energy to possible variations of fundamental constants. Rather than introducing new model ingredients, this work aims to clarify what can, and cannot, be robustly inferred from current and near-future observations. Measurements of the fine-structure constant and related quantities provide a unique probe of the microphysical sector underlying cosmic acceleration, complementary to purely geometric cosmological tests. Theoretical framework.Light cosmological scalar fields generically face strong constraints from equivalence-principle tests, fifth-force searches, and atomic clock experiments. We review this central tension and explain why screening mechanisms, in particular the least-coupling (Damour–Polyakov) scenario, offer a minimal and conservative resolution. This approach suppresses local scalar effects while allowing cosmological evolution, without relying on finely tuned potentials or strong environmental dependence. Robust phenomenological signatures.Within screened scalar frameworks, cosmological variations of fundamental constants generically follow a two-term redshift dependence. This behavior arises from the combination of slow scalar evolution driven by the background potential and a matter-induced attractor associated with screening. Importantly, this functional form is largely independent of the detailed shape of the scalar potential, making it a robust phenomenological prediction rather than a model-specific artifact. Correlated observables and interpretation.Variations of different constants are generally correlated in theories where scalar fields couple to multiple sectors. We discuss how correlated variations of the fine-structure constant and the proton-to-electron mass ratio can provide powerful consistency checks, while emphasizing the model dependence inherent in their quantitative interpretation. Observational outlook.We outline observational strategies relevant for the coming decade, highlighting the role of high-resolution astrophysical spectroscopy and complementary laboratory measurements. This article serves as a companion perspective to recent technical and phenomenological studies, providing a conservative and testable roadmap for probing screened scalar scenarios with next-generation data.