Apple has seeded watchOS 3.1.3 beta 1 to developers for testing. The build number is 14S958.
The software update likely contains bug fixes and improvements. It also should address the issue that caused watchOS 3.1.1 to be pulled; although, Apple could still release watchOS 3.1.2 with a fix for just that issue.
Developers can download the watchOS configuration profile from the link below and install the build via the Watch app on the iPhone.