Gmail – Show Only Emails Arrived Within Last X Minutes

There is no elegant solution but here is one that should do what you want:

1. Using your Google Apps account, create a secondary user: garbagecollection@mydomain.com
2. Set the catch-all (in Control Panel for domain, email settings) to go to garbagecollection@mydomain.com
3. Write a Google Apps Script which scans the inbox periodically (every 5 min?, daily?)
4. The script would:
   1. Automatically add new addresses to a control spreadsheet
   2. create a label for each new address in your main email account
   3. forward each email to your main account (if not black listed in spreadsheet)
   4. apply the label in your main account

It would work as follows:

You create registration specific email addresses such as firstname.lastname.amazon@mydomain.com because the garbagecollection@mydomain.com is a catch-all, it will accept any email. The script records all new addresses it in the spreadsheet. When you want to stop receiving email, you flag it in the spreadsheet and the script deletes the email rather than forwarding it.

If the emails are grouped by conversation, click on the respective conversation, and then click on circle with a number in the middle (on hover, the number will turn in two arrows), to partially open all the messages.

After this, scroll down to the last message that has a clip icon next to its date.