The most common and most likely answer to this crossword clue is the 8 letter word INFAMOUS
I've seen this crossword clue in The Daily Telegraph
I
N
F
A
M
O
U
S
More clues leading to the result INFAMOUS
- Outrageous sort of animus
- Notorious home recognised by many
- Notorious home, renowned
- At home, well-known as notorious
- Animus of falling out is notorious
- I moan terribly about female American of bad repute
- Doctor covered by popular play almost like a major criminal?
- Notorious for being on friendly terms with the celebrated
- Popular female a victim of farmer’s wife? That’s shocking
- Almost faint, panicking in front of tailless rodent of ill repute!
Buddy explains!

The straight part
We know that "of bad repute" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case of bad repute = infamous.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 INFAMOUS mean?
INFAMOUS adjective- Having a bad reputation, disreputable; notoriously bad, unpleasant or evil; widely known, especially for something bad.
- Causing infamy; disgraceful.
- Subject to a judicial punishment that deprived the infamous person of certain rights; this included a prohibition against holding public office, exercising the franchise, receiving a public pension, serving on a jury, or giving testimony in a court of law.