This paper presents a novel die-level, rePlaceable INtegrated CHiplet (PINCH) assembly using a socketed platform. To enable the replaceability of this tightly-integrated system, the appropriate set of enabling technologies is required. To this end, the PINCH assembly incorporates a non-permanent, off-chip interconnection system via Compressible MicroInterconnects (CMIs) and a non-permanent self-alignment technology using Positive-Self-Alignment Structures (PSAS) in a PSAS-to-PSAS configuration. As the PSAS-to-PSAS self-alignment technology is substrate agnostic, the PINCH assembly can also incorporate heterogeneous integrated systems. This paper discusses this PINCH assembly and it provides a design analysis for building this socketed system. The fabrication of all the components of the PINCH assembly (e.g., chiplet, interposer) is then performed, followed by a manual assembly process using the PSAS-to-PSAS self-alignment technology. Four-point resistance of the 150 μm pitch and 200 μm pitch CMIs are then measured after the socket is secured into the socket base of the PINCH assembly.