The most common and most likely answer to this crossword clue is the 10 letter word FIANCHETTO
I've seen this crossword clue in The Guardian
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Buddy explains!
The straight part
We know that "Move of bishop" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case move of bishop = fianchetto.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 FIANCHETTO mean?
FIANCHETTO noun- The development of a bishop by moving it one square to a long diagonal; specifically, a set of opening moves where a bishop is developed to the second rank of the adjacent knight file.
- To play a fianchetto.