The most common and most likely answer to this crossword clue is the 3 letter word ESP
E
S
P
More clues leading to the result ESP
Buddy explains!

The straight part
We know that "evokes emotions beyond the norm" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case evokes emotions beyond the norm = esp.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does ESP mean?
ESP adverb- (manner) In a special manner; specially.
- (focus) Particularly; to a greater extent than is normal.
- (focus) Used to place greater emphasis upon someone or something.