Dropbox has instant upload which instantly uploads any picture taken on my Android to the Camera Uploads folder. This trigger moves them from Dropbox to flickr.
Create a folder "Camera Uploads" (or whatever you fancy - just mention it under the subfolder name) and place it in Public folder. Now create a symlink from Camera Uploads on Dropbox to Public/Camera Uploads. Now everytime a photo gets instantly uploaded to Camera Uploads, it goes to flickr
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