I used the instructions in the video (link below) to create exactly the functionality you describe.  Hope it works in your form.add delete row in livecycle designer - Bing video Doug

Thanks, Bruce. I don't think so, but, it's a little hard to tell since I don't see any indicators or shading to signal that Lock Static Objects or either of the other two options are in play. I gave up and rebuilt the form in Acrobat Pro DC.

I need to modify an existing form. When opened in LC ES3 i can't edit regular text, the solution to which seems to be to "Save As Copy" In order to clear some security settings. After doing this all the fields disappeared and I still couldn't edit the regular text. I looked for an answer in JP Terry...