How to theme a paragraph bundle with a template file?
I had the same question. Here's what worked for me with: Drupal 7.41, Paragraphs 7.x-1.0-rc4.


Go to the end of your settings.php file and remove the hash sign to enable
"$conf['theme_debug'] = TRUE;" Or add the line if not present.
Flush your cache.
With your favorite browser, inspect the Paragraph output that you
want to override. You should now have HTML comments, just before the
actual markup, with template filename suggestions that you can use
in your theme.


With my setup, the template filename suggestions are:

paragraphs-items--{field name}--{view mode}.tpl.php
paragraphs-items--{field name}.tpl.php
paragraphs-items.tpl.php


Where field name is the name of the field you use when you assign the paragraph field to a content type (not the Paragraph bundle name).

So in your particular case, if the paragraph field happened to be named "text-buttons" (machine name "field_text_buttons"), the filename suggestions are:

paragraphs-items--field-text-buttons--full.tpl.php
paragraphs-items--field-text-buttons.tpl.php
paragraphs-items.tpl.php


Don't forget to turn off theme debugging on your production site.

Best of luck.