Remove Times puzzle, finally (5)
I believe the answer is:
erase
'remove' is the definition.
(thesaurus)
'times puzzle finally' is the wordplay.
'times' becomes 'eras' (era is a kind of time).
'finally' suggests the final letters.
The last letter of 'puzzle' is 'e'.
'eras'+'e'='ERASE'
(Other definitions for erase that I've seen before include "Eliminate" , "score" , "Eradicate" , "Rub out, expunge" , "Obliterate" .)