A device and method for inspecting an inspection object of in the vicinity of a further object, both of electrically conductive material, the device comprising a transmitter/receiver arrangement for generating an electromagnetic field in the inspection object, and for measuring a signal indicative of a transient eddy current which is generated in the inspection object by the electromagnetic field, wherein the device further comprises a magnetic shield means, providing at least a partial magnetic shield for the transmitter/receiver arrangement in a direction other than a measurement direction; use of the device from inside an annulus between an inner and an outer tubular, and a method of operating a hydrocarbon well having a well completion, and inspecting the well completion from inside an annulus.