Is there clothing rental available?

No clothing rental, but they will do their best to accommodate you.

The Church's webpage for that temple says it doesn't offer clothing rental. However, I know that in cases where you've traveled to get to the temple, they can make an exception to make sure you have a chance to participate. They have extra sets of clothing for those exceptional circumstances. https://www.lds.org/temples/details/nashville-tennessee-temple?lang=eng