Archbishop adds the end of the script for the playwright (7)
I believe the answer is:
beckett
'the playwright' is the definition.
(Samuel Beckett)
'archbishop adds the end of the script' is the wordplay.
I cannot really see how this works, but
'archbishop' could be 'becket' (I've seen this before) and 'becket' is present in the answer.
'the' could be 't' (the is pronounced as a 't' sound in some dialects) and 't' is found within the answer.
No letters remain.
This explanation may well be incorrect...
'for' is the link.
Can you help me to learn more?
(Other definitions for beckett that I've seen before include "Samuel -, twentieth century Irish playwright" , "Samuel . . . . . . ., Nobel-winning Irish writer" , "Waiting for Godot playwright" , "Samuel -, Ir. playwright" , "Samuel --, Irish dramatist" .)