We have begun adding export options to CRM Lists with a simple CSV spreadsheet and export to MailChimp.
This is very simple. Once you create a list, you can pick a list and then have different options, including Export on the right. The CSV option downloads immediately. The MailChimp option requires that the MailChimp integration is set up (once).
Today Exports only work on the basis of when the CRM list is run. In a few months we will be releasing the ability to do incremental exports as well as timed exports as well as API requests for all of those so that a third party applications will be able to call and run a list. We will also add the ability to pick more columns.