Venerable historian's resting place at Mile End (4)
I believe the answer is:
bede
'venerable historian's' is the definition.
(I've seen this in another clue)
'resting place at mile end' is the wordplay.
'resting place' becomes 'bed' (where you can sleep or rest).
'at' means one lot of letters go next to another.
'end' suggests the final letters.
The final letter of 'mile' is 'e'.
'bed'+'e'='BEDE'
(Other definitions for bede that I've seen before include "Old historian" , "Venerable English historian, d. 735" , "old monk" , "Venerable scholar" , "He wrote the eighth century Ecclesiastical History of the English Nation" .)