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I believe your are referring to the Save and Continue feature. This feature is largely dependent on the users browser. Since data is stored in the browser, if the cache/cookies are cleared for any reason, so will the data.
For a more permanent method of allowing users to update a submission, I would recommend using an edit submission link in an email autoresponder:
This will allow users to submit the form and return to their specific submission at any time to update their specific submission.