He is sent out after some hesitation (6)
I believe the answer is:
ernest
'he' is the definition.
(I've seen this before)
'sent out after some hesitation' is the wordplay.
'out' indicates anagramming the letters (out can mean wrong or inaccurate).
'after' says to put letters next to each other.
'some hesitation' becomes 'er' (sound used when hesitating).
'sent' with letters rearranged gives 'nest'.
'nest' after 'er' is 'ERNEST'.
'is' is the link.
(Other definitions for ernest that I've seen before include "Name (of dramatic importance!)" , "- Shackleton, Antarctic explorer" , "First name of . . . . . . Hemingway, American novelist" , "The boy sounds serious" , "Man's name" .)