Slick Social Share Buttons plugin for WordPress version 2.3 now includes the Reddit share button.
Reddit button options include either a horizontal button with/without count or a vertical button with count. Reddit is also included in the plugin’s Social Statistics page, which provides a summary of share button counts for all pages, posts, category pages and even the site’s home page.
The Reddit button is available starting with version 2.3. For more info check out the Slick Social Share Buttons Plugin page.