Can I transfer partial submissions to a cloned form

We do not have an option to directly transfer the data between forms, however you can do so by exporting the submissions in the old form to an excel file then importing it back using our import tool.

Kindly refer to this guide on how to go about the importation of the exported CSV data

http://www.jotform.com/help/308-Import-App-Easily-import-your-Excel-or-CSV-data-into-JotForm

Do let us know if you need further clarification.