Cut out PE without hesitation (6)
I believe the answer is:
excise
'cut out' is the definition.
(excise can mean to cut out or remove)
'pe without hesitation' is the wordplay.
'pe' becomes 'exercise' (PE is physical education).
'without' indicates named letters should be taken away.
'hesitation' becomes 'er' (sound made while hesitating - um, er).
'exercise' with 'er' taken away is 'EXCISE'.
(Other definitions for excise that I've seen before include "A tax to be cut out, perhaps" , "Duty; cut out" , "Expunge the tax?" , "Customs" , "that wretches hatefully collect" .)