Electromigration methods including CE and ITP are attractive for incorporation in microfluidic devices because they are relatively easily adaptable to miniaturization. After its popularity in the 1970s, ITP has made a comeback in microfluidic format (-ITP, micro-ITP) driven by the advantages of the steady-state boundary, the self-focusing effect, and the ability to aid in preconcentrating analytes in the sample while removing matrix components. In this review, we provide an overview of the developments in the area of -ITP in a context of the historic developments with a focus on recent developments in experimental and computational ITP and discuss possible future trends. The chip-ITP areas and topics discussed in this review and the corresponding sections include: PC simulations and modeling, analytical -ITP, preconcentration ITP, transient ITP, peak mode ITP, gradient elution ITP, and free-flow ITP, while the conclusions provide a critical summary and outlook. The review also contains experimental conditions for -ITP applications to real-world samples from over 50 original journal publications.