The most common and most likely answer to this crossword clue is the 7 letter word ODDMENT
I've seen this crossword clue in The Times
O
D
D
M
E
N
T
More clues leading to the result ODDMENT
- Occasional books inspiring me a bit
- Scrap books with divine pieces inside
- End of rum — crew ultimately upset
- Piece in good works about divine persons
- Scrap old leaders in Daily Mail during depression
- Piece in good books about divine chaps
- Strange time to admit army scrap
- Bit strange having soldiers on square
- Bit left over is not even intended for broadcast
- Weird people having time for miscellaneous article
Buddy explains!

The straight part
We know that "a bit" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case a bit = oddment.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 ODDMENT mean?
ODDMENT noun- A part of something that is left over, such as a piece of cloth.
- Something that does not match the things it is with or cannot easily be categorized; a miscellaneous item.
- An item that was originally part of a set but is sold individually; an excess item of stock.
- A part of a book that is not a portion of the text, such as the title, index, etc. (usually plural).
- A person who does not fit in with others or is considered to be strange in some way.
- A varied collection (of items).
- A remaining number or amount (after a calculation).
- Something strange or unusual.