Scotch/3M makes a great many different types of tape. Many are green. Many are electrical, thermal or both. And green.
With just an old part number I don't think you can make any safe assumptions as to it's purpose unless an old catalog turns up where it can be referenced. Not to mention any detriment time may have taken on it's suitability for use. Still a fun mystery, so...
Are you sure it's single sided tape and there is no removable film on the seemingly non adhesive side?