The most common and most likely answer to this crossword clue is the 3 plus 2 plus 3 plus 7 letter word TIP OF THE ICEBERG
I've seen this crossword clue in The Times
T
I
P
O
F
T
H
E
I
C
E
B
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R
G
More clues leading to the result TIP OF THE ICEBERG
Buddy explains!
The straight part
We know that "Only part of the problem" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case only part of the problem = tip of the iceberg.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.