The most common and most likely answer to this crossword clue is the 3 plus 3 letter word TWO BIT
I've seen this crossword clue in Independent
T
W
O
B
I
T
More clues leading to the result TWO BIT
Buddy explains!

The straight part
We know that "Worth next to nothing" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case worth next to nothing = two bit.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 TWO BIT mean?
TWO BIT adjective- Costing 25 cents
- Insignificant or worthless