You can save this following AppleScript code in Script Editor.app as "File_To_Clipboard.scpt" (or whatever name you want) to your /Users/your_short_name/Library/Scripts/Folder Action Scripts/ folder.
property theFile : missing value
on adding folder items to theFolder after receiving theNewItems
-- Called after items have been added to a folder
-- theFolder is a reference to the modified folder
-- theNewItems is a list of references to the items added to the folder
set theFile to POSIX path of theNewItems
set the clipboard to POSIX file theFile
end adding folder items to
Then in Finder, right click the Folder that your GIF files will be saved to and select Folder Actions Setup... then select your new "File_To_Clipboard.scpt" file to attach to that Folder.
Now anytime a file is added to that Folder, that file will be copied to your clipboard