Currently, if user would like to search for the comments that contain the mention referred to the current user, he/she can use the following JQL query to achieve that:

comment ~ currentuser()

This works fine, but it will return all issues that contains the comment by current user. And there is no timing distinguish between when the user is mentioned. So user would like to have a feature to show only mentioned during a period of time.

Note:
Using the following JQL query can return recent updated issue, but still even the user is mentioned on very early state, it will still be returned.

comment ~ currentuser() AND updateddate > "-1w" ORDER BY updated DESC