Can I update a custom field with Requester Name?

How do I create a custom ticket field and have a trigger update it to set it to hold the name of the Requester on a ticket? 

Background - I've enabled the new request list experience and one of the big drawbacks our clients are noticing, is the Requester column is no longer showing for those users who have access to see tickets across their entire org. Them being able to at a glance see who submitted what is very beneficial. I read that using a custom field with requester info could be a workaround, but how do I go about automating a custom ticket field to house the requester name?