Gets rid of ten e-mails I concocted (10)
I believe the answer is:
eliminates
'gets rid of' is the definition.
('eliminate' can be a synonym of 'get rid of')
'ten e-mails i concocted' is the wordplay.
'concocted' is an anagram indicator.
'ten'+'e'+'mails'+'i'='tenemailsi'
'tenemailsi' is an anagram of 'ELIMINATES'.
I've seen this clue in the Sydney Morning Herald.
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