Clipped a piece from the intersection (5)
I believe the answer is:
terse
'clipped' is the definition.
(synonyms)
'a piece from the intersection' is the wordplay.
'a piece' indicates a hidden word.
'TERSE' is hidden in the letters of 'from intersection'.
(Other definitions for terse that I've seen before include "Sparing with words; abrupt" , "Curt among trees" , "Crisp and brief" , "Short and sharp" , "Pithy and concise" .)