Metal-organic frameworks (MOFs) are a widely-studied class of nanoporous materials composed of metal nodes connected by organic linkers, exhibiting a wide range of applications including gas storage, catalysis, and drug delivery. While crystalline MOFs have been extensively studied and characterized, their amorphous counterparts have gained interest in the past decade. However, the fundamental understanding of their structure at the microscopic level remains limited, and their physical and chemical properties are not well known. One key reason for the challenge lies in the inherent disorder and lack of long-range order in amorphous MOFs, which results in a complex and heterogeneous local environment. Diffraction methods, which are widely used for the structural resolution of the crystalline phases, only offer indirect information about the structure of amorphous MOFs. Another factor is the intrinsically dynamic nature of amorphous MOFs, involving fluctuations in the coordination environment of metal nodes, conformational changes of organic linkers, and even guest molecule interactions. The lack of a static, "perfect" structure makes it difficult to capture using simple models the fundamental nature of amorphous MOFs, and their structure-property relationships. Overcoming these challenges requires the development of new experimental techniques and theoretical models to better probe the local atomic arrangements and dynamic processes within amorphous MOFs. Advances in this area are needed not only to deepen our understanding of these promising materials, but also pave the way for their rational design and optimization for applications.