Whenever I watch a film (as seen in previous reviews), I'm always concerned about continuity problems, because it makes the audience aware of the editor's work, because it doesn't work together as an edit and therefore becomes almost jolted and incomplete.
The idea of continuity in film means that a series of shots should be physically continuous, as if the camera simply just changes angles within the same event. For example, in The Great Train Robbery where the train jumps from one track to another would be a bad example.
Even though this is most noticable in the edit, it is not seen as the sole responsibility of the editor - if the shots are not recorded continuously, then the editor can not change that in post-production, the problem ripples throughout the entire production, however usually gets noticed as an editor's mistake.
To have a continuous film, you need to ensure that a director (or script-writer/producer) ensures that shots continue correctly - such as a glass being half empty throughout - instead of being full in one shot and previously being nearly empty.
Even though this isn't a big concern of the editors, it's always something that catches my eye when watching TV dramas or films - so when it comes to other projects, I need to ensure that people I'm working with understand the idea of continuity to ensure the films success in post-production.