Here's the verbiage you get:

In addition, please review our Successful Transaction Tips below to assist in finalizing the transaction.

Make contact with the buyer ASAP.
Always try to remain calm, friendly, and polite. The #1 reason we see car deals fall apart is not the car; it is disrespect or bad attitudes from the buyer or seller.
Provide a factual Bill of Sale when taking payment.
Provide a photocopy of the title if requested to justify payment.
Do not release the car or the actual title until you have full payment in hand.
We suggest Wire Transfers for payments.
We hope to hear a BaT Success Story from you in the coming days and weeks! Thanks again for listing your vehicle with BaT Auctions!

The Bring a Trailer Team

I didn't get an indication of timeline for payment though...