Not even a famously patient person is right to be a handyman (3-6)

'a handyman' is the definition.
(someone who does a variety of jobs)

'not even a famously patient person is right' is the wordplay.
'not even' becomes 'odd' ('odd' is the opposite to 'even').
'a famously patient person' becomes 'Job' (Old Testament figure).
'is' becomes 'be'.
'right' becomes 'r' (common abbreviation).
'odd'+'job'+'be'+'r'='ODD-JOBBER'

'to be' is the link.