Transient Recovery Voltage (TRV) is the fast voltage that appears across the contacts of a circuit breaker immediately after the breaker interrupts current.
The word transient means it is temporary. It lasts for microseconds or a few milliseconds. The word recovery means the network voltage is recovering across the open contacts after current has been stopped. The important point is this: TRV appears at the exact moment when the breaker gap is still weak and is trying to become an insulator again.