Data acquisition and reconstruction for tomography have been extensively studied for the past 30 years, mainly for medical diagnosis and non-destructive testing. In these fields, imaging is typically limited to sample morphology. However, in many cases, that is insufficient, and 3D chemical imaging becomes essential. This review highlights synchrotron X-ray fluorescence tomography, a well-established non-destructive technique that makes tomography richer by reconstructing the quantitative elemental distribution within samples down to the micrometer scale or even less. We compare the technique to others and illustrate it through results covering different scientific applications.