One private I hit for being out of order (11)
I believe the answer is:
inoperative
'out of order' is the definition.
(I've seen this before)
'one private i hit' is the wordplay.
'hit' indicates an anagram.
'one'+'private'+'i'='oneprivatei'
'oneprivatei' is an anagram of 'INOPERATIVE'.
'for being' is the link.
(Other definitions for inoperative that I've seen before include "Anna -, Russian poet (Requiem)" , "Not in working order" , "with no effect" , "It's useless" .)