Clairvoyant's claim (3)
I believe the answer is:
esp
'clairvoyant's claim' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for esp that I've seen before include "Apparent power to perceive things that others can't, initially" , "Initially, clairvoyance or telepathy" , "Apparent power to perceive things that others can't, in short" , "Extrasensory perception (abbrev.)" , "Second sight (abbr)" .)