The most common and most likely answer to this crossword clue is the 9 letter word TOTALISER
I've seen this crossword clue in The Guardian
T
O
T
A
L
I
S
E
R
More clues leading to the result TOTALISER
- Racecourse calculator Aristotle designed!
- Device for gambling? Youngster needs short warning, is enthralled
- Ground is to alter betting system
- Aristotle changed system for the better
- Child is real tricky, you can bet on it!
- Aristotle tinkered with system for the better
- Betting system Aristotle invented
- Is to alter arrangement — for the better?
- Short serial broadcast — you can bet on it!
- Aristotle organised betting system
Buddy explains!

The straight part
We know that "betting system" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case betting system = totaliser.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 TOTALISER mean?
TOTALISER noun- A person or object that totals.
- A totalizator (betting machine).
- An adding machine.