Possibly Epiphyllum oxypetalum (Queen of the Night) which is an old pass-along type epiphytic cacti houseplant. Have you ever seen it bloom? Does it bloom at night?

Thanks jekeesl! I think this will set me on the correct path. It's a close match. I wish there were some pictures online that detail the leaf structure. The leaves on the plant are very similar to rosemary in size and shape. The flowers that have just emerged are tiny. Maybe 1/4 inch across. Like a pencil eraser.

I'm pretty sure it's not a vine. If it's a persimmon then I'd like to figure out what type. If it's an american persimmon or american hybrid then I can plant it. If it's asian then it won't survive the winters here. The leaves look kinda similar (more rounded) to my Nikita's Gift persimmon, not so much like the americans I have. My other persimmons aren't really fuzzy like this thing is though.

No pic. Try adding it in the comments. tj