Interrupting urgent call, bishop cries (4)
I believe the answer is:
sobs
'cries' is the definition.
(sobbing is a kind of crying)
'interrupting urgent call bishop' is the wordplay.
'interrupting' indicates putting letters inside.
'urgent call' becomes 'SOS' (an SOS message sent in an emergency).
'bishop' becomes 'B' (abbreviation for bishop in chess).
'sos' enclosing 'b' is 'SOBS'.
(Other definitions for sobs that I've seen before include "Weeps audibly" , "Weeps heavily for boss" , "Given evidence of distress" , "showing distress" , "Weeps heavily (4)" .)