I currently am working with Adobe Pro X
I created a form using Adobe Live Cycle. When other users open the form and complete the fields they are promted to "save as". I would like the users to be able to simply save the document they have, then be able to come back and edit more later, save, come back & edit etc.
As per me your users are using Adobe Reader to fill and complete the form fields, Adobe reader is only meant for reading the PDFs. you need to provide Extended rights to Adobe Reader users in order to achieve this task.
Steps to Enable Additional rights.