Bishop has sleep disturbed by these noises (6)
I believe the answer is:
bleeps
'these noises' is the definition.
The definition suggests an adverb but the answer is not.
'bishop has sleep disturbed' is the wordplay.
'bishop' becomes 'B' (abbreviation for bishop in chess).
'has' says to put letters next to each other.
'disturbed' is an anagram indicator (the order of letters is disturbed).
'sleep' with letters rearranged gives 'leeps'.
'b'+'leeps'='BLEEPS'
'by' acts as a link.
Can you help me to learn more?
(Other definitions for bleeps that I've seen before include "Short high tones to send signals" , "censors bad language" , "High-pitched signals" , "Audible signals" .)