@JD Collier: To clarify my case: I have a big headline article on my home page and below all the articles in chronological order. So an article is a "content type" and some articles are checked as "headline" which is a custom field check box in the content type. Obviously, if you have one large headline article above, you don't want to repeat that same article right below (or a couple of teasers further down). This way it's possible to publish new content and specify whether it's important enough to put in the spotlight as a "headline" article or not.

I don't think your suggestion is the right one for my case. Because I can't restrict the chronological view with only "headline" unchecked or checked. Then I would hide all the headline articles while I only want to hide a specific one (in the featured content box).

After weeks of googling, I actually found a solution. There's a module called Views Exclude Previous. This is a views filter that detects which nodes have already been loaded on the page. There are a couple of options possible and one of the options worked for me.
http://drupal.org/project/views_exclude_previous

For Drupal 7 it's still a development version but it works fine for me. Maintainers are asking to test it.

Hopefully someone can use this experience.