Crossword Genius

Odd bod and I agreed to break up, naturally (10)

Ross

I believe the answer is:

biodegrade

'break up naturally' is the definition.
(to biodegrade is to be broken down by bacteria)

'odd bod and i agreed' is the wordplay.
'odd' is an anagram indicator.
'and' is a charade indicator (letters next to each other).
'i'+'agreed'='iagreed'
'bod' after 'iagreed' is 'iagreedbod'.
'iagreedbod' anagrammed gives 'BIODEGRADE'.

'to' acts as a link.

(Another definition for biodegrade that I've seen is " Rot!".)

I've seen this clue in The Times.
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