Repeat it at end of June without hesitation (7)
I believe the answer is:
iterate
'repeat' is the definition.
('iterate' can be a synonym of 'repeat')
'it at end of june without hesitation' is the wordplay.
'end of' says to take the final letters.
'without' is an insertion indicator ('without' can be similar in meaning to 'outside').
'hesitation' becomes 'er'.
The final letter of 'june' is 'e'.
'it'+'at'+'e'='itate'
'itate' going around 'er' is 'ITERATE'.
(Other definitions for iterate that I've seen before include "Utter or perform repeatedly" , "Say again, repeat" , "State repeatedly, say again" , "Repeat, state again" , "Recapitulate" .)