In this proceeding we emphasize the importance of jet substructure studies for testing theoretical approaches of understanding jet-medium interactions. We will review some established experimental measurements of infrared and collinear safe jet observables and the comparisons with theory calculations. The observables discussed here are the radial and longitudinal jet energy profiles, as well as the jet radius dependence of the jet suppression factor RAA which is sensitive to the jet internal structure. We also highlight new and future directions in jet substructure studies, including hard probes using hadronic decaying electroweak bosons and top quarks, as well as tools for identifying relevant jet evolution phase space which may showcase signatures of jet-medium interactions. In the end we stress that in an era of precision jet substructure studies, significant improvement in controlling both theory and experiment uncertainties is required.