Cancel Times? Anyone's conclusion! (5)
I believe the answer is:
erase
'cancel' is the definition.
(erasing is a kind of cancelling)
'times? anyone's conclusion' is the wordplay.
'times?' becomes 'eras' (era is a kind of time).
'conclusion' suggests the final letters.
The final letter of 'anyone' is 'e'.
'eras'+'e'='ERASE'
(Other definitions for erase that I've seen before include "Blank out" , "Blot out" , "Clear" , "Obliterate" , "Destroy recording on audio or video tape" .)