The most common and most likely answer to this crossword clue is the 6 plus 7 letter word BUYERS REMORSE
I've seen this crossword clue in Financial Times
B
U
Y
E
R
S
R
E
M
O
R
S
E
Buddy explains!
The straight part
We know that "Regret at having made investment" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case regret at having made investment = buyers remorse.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.