The most common and most likely answer to this crossword clue is the 11 letter word CODEBREAKER
I've seen this crossword clue in The Guardian
C
O
D
E
B
R
E
A
K
E
R
More clues leading to the result CODEBREAKER
Buddy explains!

The straight part
We know that "Kind of solver" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case kind of solver = codebreaker.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 CODEBREAKER mean?
CODEBREAKER noun- A cryptanalyst, one who decodes messages without the key.