Happy not to start being hired (6)
I believe the answer is:
leased
'hired' is the definition.
(I know that hired can be written as leased)
'happy not to start' is the wordplay.
'happy' becomes 'pleased' (synonyms).
'not to start' means to remove the first letter.
'pleased' with its first letter taken away is 'LEASED'.
'being' is the link.
(Other definitions for leased that I've seen before include "Rented" , "Let for money" .)