Really depends on the rub and faucet that you choose. I would put at least an 8 foot ceiling in place. Are you dealing with a tight space?

It's for a tiny house so there would be a loft over the bathroom. I figured 8 feet would work over the tub. I've seen some tiny houses that had a higher ceiling over the shower than the rest of the bathroom.

I can’t think of anything more dysfunctional than a claw foot tub in a tiny house. Between the weight, and the worst ever too small spot to stand and shower, and the inevitable water damage, and the expense? Nuts. A camper trailer is cheaper and more mobile.