This recepie helps you pull all pics published in Twitter to your Dropbox
If
New link by you
This Trigger fires for every link you tweet. If your tweet has multiple links, it will fire multiple times.
Then
Add file from URL
This Action will download a file at a given URL and add it to Dropbox at the path you specify. NOTE: 30 MB file size limit.
Discover more time saving integrations for Dropbox and Twitter