The most common and most likely answer to this crossword clue is the 10 letter word ODD-SHAPED
I've seen this crossword clue in Independent
O
D
D
-
S
H
A
P
E
D
Buddy explains!
The straight part
We know that "Strange-looking" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case strange-looking = odd-shaped.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.