Flickr never locks you out of access to your photos, per se.
The only difference is that your photostream is limited to 200 photos. Every other way that photos are accessed continues to work - whether you've embedded them on blogs, other people favorited them, etc.
There are 3rd party tools to export your photos from Flickr via the API. Flickr hasn't written their own exporter (they probably should) but exporting apps aren't blocked.