Clerk shared inbox is where you can search for and view all of your account's text message threads. The SMS Inbox stores all SMS messages sent and received by Slack users. It displays the phone number, message, and the date/time that the message was received.
To access your Inbox navigate to Clerk Dashboard
/clerk and click on 📥 Inbox
Alternatively you can just click on Clerk app under Apps section.
The search field works by searching by name or a phone number.
Conversations can be filtered by:
Refer to section on Notifications to see how to assign a status to a conversation.
Clicking on the message thread will open up the relevant Slack conversation thread.
... on the right side of the the message will give you an option to bring up the Assign modal or Delete the message.