Deliberate slight given to king (5)
I believe the answer is:
think
'deliberate' is the definition.
(I've seen this in another clue)
'slight given to king' is the wordplay.
'slight' becomes 'thin' (similar in meaning).
'given to' says to put letters next to each other.
'king' becomes 'K' (chess abbreviation).
'thin'+'k'='THINK'
(Other definitions for think that I've seen before include "Believe" , "Ponder" , "Use one's mind" , "Meditate" , "Cogitate; deem" .)