The most common and most likely answer to this crossword clue is the 5 letter word GAFFE
I've seen this crossword clue in The Guardian
G
A
F
F
E
More clues leading to the result GAFFE
- Amazing affection masks this mistake
- Slip home, by the sound of it
- Boss shortly makes a mistake
- Blunder made by manager losing final piece
- Slip outside from fire after smoke retreats
- One runs from animal in Africa – mistake!
- One with great neck overlooking Ireland makes slip
- Boss almost making a tactless remark
- Mistake involving hook at end of line
- Faux pas boss cut short
Buddy explains!

The straight part
We know that "tactless remark" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case tactless remark = gaffe.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 GAFFE mean?
GAFFE noun- A foolish and embarrassing error, especially one made in public.