The most common and most likely answer to this crossword clue is the 10 plus 5 letter word MAGNIFYING GLASS
I've seen this crossword clue in The Daily Telegraph
M
A
G
N
I
F
Y
I
N
G
G
L
A
S
S
More clues leading to the result MAGNIFYING GLASS
Buddy explains!
The straight part
We know that "Solution to a problem with troublesome little characters" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case solution to a problem with troublesome little characters = magnifying glass.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.