The most common and most likely answer to this crossword clue is the 4 plus 4 letter word BEAT DOWN
I've seen this crossword clue in Financial Times
B
E
A
T
D
O
W
N
Buddy explains!

The straight part
We know that "In business, hassle/shine to a great degree" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case in business, hassle/shine to a great degree = beat down.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.