An ellipseellipsis generally describes a gap in something.
It could either mean a 'gap' in thought processes, for example "I am going to the doctor tomorrow, therefore I must buy a toaster",:
I am going to the doctor tomorrow, therefore I must buy a toaster.
at least to someone else, this would be confusing although in the speaker's mind it makes perfect sense.
Alternatively it could mean a complete loss of information, for example, the person couldn't remember certain aspects of an event.
The other more subtle meaning, that would only really become clear with more context would be that the 'ellipses in thought' were actually that the person was hiding something, and that they would trail off because they did not want to say what they were originally going to say.