My ex t explained to me that there can be two types of losing time in DID. One kind is where you have a discrete missing chunk of time. Like, you were somewhere doing one thing, then suddenly you are somewhere else doing something esle entirely, and time has gone by and you have no idea of what has happened in between.
The other kind is more like a fog, and you are not necessarily aware of time chopping and changing, or of losing time at all as it happens, but if you try to remember what you were doing you may only remember bits and pieces of it and it all feels very unreal and kind of confusing.

I have experienced both types, mostly the missing chunk of time with alts that I've had little awareness or coconsciousness of, and more of the fog stuff as healing progressed and we became more communicative internally. These days I don't even have much 'fog', a lot of the time. Is goooood!!