Delete Times puzzle at the end (5)
I believe the answer is:
erase
'delete' is the definition.
(erasing is a kind of deleting)
'times puzzle at the end' is the wordplay.
'times' becomes 'eras' (era is a kind of time).
'at the end' indicates one should take the final letters.
The final letter of 'puzzle' is 'e'.
'eras'+'e'='ERASE'
(Other definitions for erase that I've seen before include "Scratch" , "Remove recorded material" , "To remove all trace" , "Destroy recording on audio or video tape" , "Rub out, expunge" .)