I think of a *true club* as sliced turkey on toasted bread with a blt on top. So, yes, 3 pieces of toasted bread, with mayo. No cheese. No chicken. No ham.
If I'm going to eat the bread, it's toasted brioche with the traditional stuff. A nice option would be an open-face sandwich. All the better with sliced avocado.
Ordering it as a salad means more of the good stuff and a nice basket of dinner rolls.