If you require people to enter credentials to enroll, Jamf will automatically assign the device to whoever enrolls it. Devices can also be assigned with recon, but I would have to dig up the verb (for example have a function to see the userID of the logged in user, and pipe that in to recon to assign the device to that person).
You will want cloud identity or LDAP setup to actually pull in the correct information beyond the users name.
