Tested, replication failed
Precognition
Precognition is the claimed ability of knowing an event before it occurs. It has been tested — Daryl Bem, "Feeling the Future", Journal of Personality and Social Psychology, 2011. Eight of nine reported effects at p < .01. Ritchie, Wiseman and French then ran three direct replications in 2012 and found nothing; journals initially declined to publish the null results.
The experiment
Daryl Bem, "Feeling the Future", Journal of Personality and Social Psychology, 2011
This episode did more for psychology than for parapsychology: it became a standard example in the replication crisis, and helped push the field toward pre-registration.
Where the word comes from
In use since the 1880s in psychical research.
Terms in this field are younger than they sound. Most were coined between 1840 and 1930, in the Spiritualist and Theosophical revivals, and then presented as ancient. Dating them is the cheapest reality check available.