Was thinking the same re persimmon; ours doesn't do much and it gets a bit of sun. Obvious by how, where, and when it vegetates that it is not receiving enough light.
I would look at lemon drop garcinia, some jabos, loquat, and maybe carambola. Cacao might do well, a long as it doesn't get too cold or windy. There are some eugenias that can do well with low light.