Anger as wife dismissed from Telegraph (3)
I believe the answer is:
ire
'anger' is the definition.
(I've seen this before)
'wife dismissed from telegraph' is the wordplay.
'wife' becomes 'w'.
'dismissed from' suggests deleting specific letters.
'telegraph' becomes 'wire' ('wire' can be a synonym of 'telegraph').
'wire' with 'w' taken out is 'IRE'.
'as' acts as a link.
(Other definitions for ire that I've seen before include "Anger, rage" , "exasperation" , "Anger among admirers" , "Annoyance, vexation" , "Anger, annoyance" .)