Cache the result of a Cloud

I understand the pages are cached for anonymous users, but not for logged in users.
My tag pages take 2 to 9 (!) seconds to be computed, which is much too much... (it's ok now that my site has few users, but I can't imagine drupal.org using this module!).

Instead of being updated at each page view, can a cron job be setup to create a few selected tag pages (or blocks), and the result being always retrieved from the cache for everybody?

For example, I have:
http://www.wechange.org/tagadelic
which is not aliased, but also:
http://www.wechange.org/tagadelic/places which is /tagadelic/chunk/5
etc.

And I may want to have tagadelic/chunk/5,8 but not tagadelic/chunk/2 so it would be useful to be able to configure which pages are to be computed by the cron job or not.

I'm still unsure how the cache systems works within Drupal.