Repeat that delegate should move up a bit (7)
I believe the answer is:
reprise
'repeat that delegate should' is the definition.
'reprise' can be an answer for 'repeat' (I've seen this before). I am unsure of the remainder of the definition.
'move up a bit' is the wordplay.
'move up' says the letters should be written backwards (for a down clue).
'a' becomes 'per' (eg 'one a day' means 'one per day').
'bit' becomes 'rise' (I can't explain this - if you can you should give a lot more credence to this answer).
'per' back-to-front is 'rep'.
'rep'+'rise'='REPRISE'
Can you help me to learn more?
(Other definitions for reprise that I've seen before include "annual charge?" , "repeat performance" , "later musical statement" , "In music, a repeated song or passage" , "Play one more time" .)