Dingiest characters share in break-up (14)

I believe the answer is:

disintegration

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'break-up' is the definition.
I can't judge whether this definition defines the answer.

'dingiest characters share' is the wordplay.
'characters' indicates anagramming the letters.
'share' becomes 'ration' (a ration is a share of a limited resource).
'dingiest' anagrammed gives 'disinteg'.
'disinteg'+'ration'='DISINTEGRATION'

'in' acts as a link.

Can you help me to learn more?

(Other definitions for disintegration that I've seen before include "Process of breaking up" , "Falling apart" .)

I've seen this clue in The Daily Express.

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