OK, here's an example of some written language with a heavy reliance on logograms:
> omg how r u doing that
> lmfao
> c u 2nite
(2nite is especially interesting because the icon is used to represent just part of the word!)
This is mostly notable because the formal written system didn't allow it, and the logographic forms were introduced spontaneously as a result of large numbers of people being literate. In other words, they are an example of the direction of change pointing toward logograms, not away from them.
> Certain Asian languages come to mind
Japanese is the only one that might fit this description.
