Crossword Genius

Shred the first thirteen letters (4)

Ross

I believe the answer is:

atom

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'shred' is the definition.
(I've seen this in another clue)

'first thirteen letters' is the wordplay.
'first' becomes 'a' (first letter of the alphabet).
'thirteen letters' becomes 'tom' (I can't justify this - if you can you should believe this answer much more).
'a'+'tom'='ATOM'

'the' is the link.

Can you help me to learn more?

(Other definitions for atom that I've seen before include "Smallest unit of matter" , "It was once thought to be smallest particle of matter" , "Elementary particle" , "Very small bit" , "An explosive particle as in bomb" .)

I've seen this clue in the Evening Standard.
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