Often when using Microsoft Publisher 2013 I receive an error of “the Clipboard is busy. Publisher cannot currently cut, copy or paste your data because another program is using the Clipboard. Wait a moment and try again, or close other programs and try again”. Typically waiting and closing other programs does absolutely nothing. The issue appears to be related specifically to cut and paste operations involving the Office Clipboard (ie cutting and pasting from other Office programs) since usually if this error occurs a paste of plain text from something like the notebook works fine.
The solution/workaround I have found is to open the office clipboard inside of Publisher and use it for any paste operations. This seems to work without any issues. To do this click the little expansion arrow at the bottom right of the paste menu area (shown in red box below) and then simply click the object/text you wish to paste from the office clipboard list and no errors will occur and the paste will work correctly.