The most common and most likely answer to this crossword clue is the 4 plus 4 letter word TAKE NOTE
I've seen this crossword clue in The Times
T
A
K
E
N
O
T
E
More clues leading to the result TAKE NOTE
- NB: what a money thief might do
- Mark betting system involving a measure of understanding
- Accept some money for watch
- Pay heed to appropriate reminder
- Closely observe what till operator may do
- Observe what shopkeeper may do before giving change
- Pay attention — entry gate ahead!
- Watch bag containing American know-how
- . Remember that pickpockets do this
- Observe token being distributed during tea breaks
Buddy explains!

The straight part
We know that "NB/what a money thief might do" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case nb/what a money thief might do = take note.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.