Look for domain of bishop and king (4)
I believe the answer is:
seek
'look for' is the definition.
(synonyms)
'domain of bishop and king' is the wordplay.
'domain of bishop' becomes 'see' (I am not sure about this - if you are sure you should believe this answer much more).
'and' says to put letters next to each other.
'king' becomes 'K' (abbreviation for king in chess).
'see'+'k'='SEEK'
Can you help me to learn more?
(Other definitions for seek that I've seen before include "Go looking for" , "Hunt, look for" , "Attempt to find; ask for" , "Try to locate or reach" , "Ask for (permission)" .)