cd ~ && wget -O - "https://www.dropbox.com/download?plat=lnx.x86" | tar xzf -
cd ~ && wget -O - "https://www.dropbox.com/download?plat=lnx.x86_64" | tar xzf -
Now run Dropbox from the newly created .dropbox-dist folder.
You should now be greeted by the Dropbox dialogue.
Or go to www.dropbox.com/install and download the latest package and install that.
Credits: swftech from Crunchbang forums