This connector got damaged while repairing a device, and I've been unable to identify it to replace it.
The connector is SMD mounted with the circuit board underneath based on the image above. It is 1mm pitch and has (had) 5 pins. The cable connects/disconnects by lifting vertically away from the PCB.
Socket dimensions: 7.8mm x 4.5mm x 1.4mm, 1mm pitch, pins are 1mm long 0.2mm thick.
Plug dimensions; 7.1mm x 3.7mm x 1.2mm, the cable ends appear to be crimped.