The way this understanding is generally formulated is that "public revelation ended with the death of the last Apostle", but I have not actually encountered this as a formally defined teaching or doctrine.
It's been a big part of the modernistic bent of the dominant Calvinistic protestant denominations. It was also drove the focus on literacy and certainly influenced the trend towards academic and textual rigor.
Widely abandoned in the U.S. only quite recently by low and high protestant calvanistic conservative groups alike.
Pentecostal and charismatic groups have been around obviously but weren't taken too seriously and were even warned against by dominant evangelicalism, but that has relatively recently changed in conservative Presbyterian circles and influential groups in baptist circles like Sovereign Grace Churches (though they aren't baptist, they've become heavily culturally entwined via southern seminary and other places).
This has basically reintroduced miracles and promoted an embrace of magical thinking in laity's daily life that was long absent from those bookish, stuffy, severe, and practical protestants.
No, cessationism is about charismatic gifts, but the GP mentioned "prophecy" and I'm referring to "public revelation" so now we've got a thread with three different concepts being bandied about and debated as if they're central to a single controversy.