Remove without hesitation and make use of (8)
I believe the answer is:
exercise
'make use of' is the definition.
(exercising is a kind of making use of)
'remove without hesitation' is the wordplay.
'remove' becomes 'excise' (I've seen this before**).
'without' indicates putting letters inside ('without' can be similar in meaning to 'outside').
'hesitation' becomes 'er'.
'excise' going around 'er' is 'EXERCISE'.
'and' is the link.
(Other definitions for exercise that I've seen before include "keep physically fit" , "Keep-fit" , "Train, work out" , "Practice piece of work" , "Employment" .)