The most common and most likely answer to this crossword clue is the 13 letter word HORSE-TRADING
I've seen this crossword clue in The Guardian
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More clues leading to the result HORSE-TRADING
Buddy explains!

The straight part
We know that "shrewd business" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case shrewd business = horse-trading.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.
What does HORSE-TRADING mean?
HORSE-TRADING noun- Informal negotiating, especially when complex or clever in nature.