This is essentially a concept for a device that interrupts the observation of the space it protects by probes meant to glean temporal information. My understanding is that nothing spectacular would happen to the contents of the device, but to a probe aimed at the contents. That probe would be manipulated around the space, preventing it from making inferences about what would be occurring in the space.

As for what exactly constitute a temporal probe, I am not certain. Some form of laser meant to be manipulated by the occurrence of an event perhaps.

no need for a box. You put a camera after the second lens, and, if "things happen" between the lenses, the camera will fail to record what happens while the cloak is on. Not because the light has moved around the events, but because it has been split in two parts, a fast-moving and a slow-moving, leaving a short gap in time in which neither the fast or slow parts can interact with the events.

probable application: Magicians can make their tricks completely undetectable using a cloak while they do them (assuming they can do them in sub-microsecond time).