If you want to achieve this within the admin interface, you can use the save_model method. See below an example:
class List(models.Model):
title = models.CharField(max_length=64)
author = models.ForeignKey(User)
class ListAdmin(admin.ModelAdmin):
fields = ('title',)
def save_model(self, request, obj, form, change):
obj.author = request.user
obj.save()