Bigger shredder announced (7)
I believe the answer is:
greater
'bigger' is the definition.
('great' can be a synonym of 'big')
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for greater that I've seen before include "More renowned" , "more influential" , "Less small" , "More important" , "more imposing scale" .)