The most common and most likely answer to this crossword clue is the 5 plus 5 letter word CLEAN SLATE
I've seen this crossword clue in The Daily Telegraph
C
L
E
A
N
S
L
A
T
E
More clues leading to the result CLEAN SLATE
- Has bath just before bed for a fresh start
- Conservative slants overdue a fresh start
- Wipes behind for fresh start
- Catholic film director’s departed to make a fresh start
- Washes well into the night to get a fresh start
- Conservative lists delayed new start
- Hoovers before bedtime maybe, making a fresh start?
- Does ex make a fresh start
- New dawn sweeps past
- Not on drugs, son delayed fresh start
Buddy explains!

The straight part
We know that "new start" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case new start = clean slate.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.