An eccentric's unorthodox delivery (7)
I believe the answer is:
oddball
'an eccentric's' is the definition.
(an oddball is an eccentric person)
'unorthodox delivery' is the wordplay.
'unorthodox' becomes 'odd' (I've seen this in another clue).
'delivery' becomes 'ball' (ball is a kind of delivery).
'odd'+'ball'='ODDBALL'
(Other definitions for oddball that I've seen before include "Eccentric person like uneven sphere" , "Bold lad (anag)" , "Nonconformist - peculiar" , "Eccentric person like peculiar sphere" , "Bold lad may be eccentric" .)