This recipe or technique, really, came from my husband's father. A guy who knew how to put together a really good classic grilled cheese sandwich for his two boys when out camping in the great out of doors. It's a real grilled cheese and it's real easy!
In a small bowl, mix the grated cheese with the 3 Tbspns Mayonnaise. Best to use a spatula, it seems to make the cheese behave. Mix well.
Butter both sides of 4 slices of bread, place on plates, butter side down (don't worry, you'll be able to use the butter that sticks to the plate), then with the spatula, add 1/2 of the cheese/mayonnaise mixture to each of one of the pieces of bread on each plate. Top the cheese with the other slice of bread, butter side up.
Heat a frying pan to medium high, then with a large spatula, go under the sandwich and place in the pan. After both sandwiches are in the pan, scrape whatever butter was left on the plates and deposit in the frying pan.
Turn after a couple or three minutes of frying, when nice and golden brown. Fry for another couple of minutes. All cheese should be melted nicely. Remove from pan and serve. Really good with raw vegetables like Peppers, Celery or yes, even a salad. Soup, too. That's it.