Getting Inbox or Mailbox Rules in Office365 via Powershell
First, login to your tenant via Powershell using Microsoft’s new Exchange V2 Powershell module.
We’re going to be using the Get-InboxRule commandlet. If you run it outright, you’ll see a limited list of Inbox rules across your tenant. To narrow things down, you can use Get-InboxRule -Mailbox [user] to get rules for a specific user. Using the -Identity parameter will not work for this! Identity is for specifying specific Inbox rules. You can use wildcards, so you could do Get-InboxRule -Mailbox jeff*
The results will be:

From here, you can use the -Identity parameter to get information on specific rules such as their date of creation, what they actually do, and more!
Check it out.