Examination of whole organs with subcellular resolution in health, disease, and during development is necessary to decipher their biological complexity. However, until recently, this has been virtually impossible due to the natural opacity of organ tissue. Recent progress in tissue optical clearing (TOC) has overcome this limitation by turning organs into transparent, light-permitting specimens. At least 20 original TOC methods have been developed in less than a decade, which were followed by hundreds of attempts that were aimed at their optimization and practical application. The majority of proof-of-concept studies have focused on the brain. However, it is apparent that TOC might be equally valuable when applied to peripheral organs or even the whole body. The progress in TOC for peripheral organs is delineated in an organ-by-organ fashion and whole-body clearing approaches are discussed. Additionally, physical and optical approaches for TOC affecting the optical properties of the samples and image quality are discussed to explore their advantages, limitations, and future possibilities.