The study of lithium and beryllium abundances is a topic that covers a very broad range of astrophysical problems from internal processes in stars to Galactic evolution and primordial nucleosynthesis. I will first provide an overview of the use of Li and Be measurements in stars belonging to different populations as a key tool to address this variety of topics. Then, I will focus on two different, but related issues: namely, the use of Li and Be abundances as internal mixing tracers; and ii) the determination of the age of young Pop. I and old Pop. II stars through Li and Be measurements, respectively. In this context, recent results based on open and globular clusters observations will be presented and discussed.