The amount of data in a field usually isn't a problem. If you're worried about that, look into alternative field storage plugins or write your own. For example MongoDB, which can deal with pretty much anything you put into it. It is for example used on http://examiner.com.
A real problem however is the number of fields you have. Because currently in Drupal 7, the complete field configuration of all fields, no matter if they're loaded or not, is fetched from the cache on every single request.
I've seen sites with 250+ fields, where loading and unserializing the field configuration takes 13MB+ memory.
Edit: The field info cache has been improved (see http://drupal.org/node/1040790 for details) with Drupal 7.22, only the fields of bundles that are displayed on a certain page are loaded from the cache and they're separate cache entries. That only works if there are no wrong API calls that request instances across multiple bundles.