Bishop well upset about old shout (6)
I believe the answer is:
bellow
'shout' is the definition.
(bellow is a kind of shout)
'bishop well upset about old' is the wordplay.
'bishop' becomes 'b' (abbreviation used in chess).
'upset' indicates an anagram.
'about' is an insertion indicator.
'old' becomes 'o' (common abbreviation eg in OE for Old English).
'well' is an anagram of 'ellw'.
'ellw' going around 'o' is 'ellow'.
'b'+'ellow'='BELLOW'
(Other definitions for bellow that I've seen before include "Loud cry of a bull" , "Roar, shout" , "author" , "Yell" , "Loud deep sound as by bull" .)