The most common and most likely answer to this crossword clue is the 6 letter word NUBBIN
N
U
B
B
I
N
Buddy explains!

The straight part
We know that "small bit" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case small bit = nubbin.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 NUBBIN mean?
NUBBIN noun- A stub, especially a stub of undeveloped corn or fruit or nipple.
- A small protuberance, bud, bump or knob.
- The clitoris.