Work-out cut without hesitation (8)
I believe the answer is:
exercise
'work-out' is the definition.
(I've seen this before)
'cut without hesitation' is the wordplay.
'cut' becomes 'excise' (I've seen this before**).
'without' is an insertion indicator ('without' can be similar in meaning to 'outside').
'hesitation' becomes 'er'.
'excise' enclosing 'er' is 'EXERCISE'.
(Other definitions for exercise that I've seen before include "worry" , "problem" , "Practice piece of work" , "written school task" , "Train, work out" .)