The most common and most likely answer to this crossword clue is the 7 letter word RIDINGS
I've seen this crossword clue in Financial Times
R
I
D
I
N
G
S
Buddy explains!

The straight part
We know that "parts of Yorkshire" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case parts of yorkshire = ridings.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 RIDINGS mean?
RIDINGS noun- A path cut through woodland.
- The act of one who rides; a mounted excursion.
- A festival procession.
- Any of the three administrative divisions of Yorkshire and some other northern counties of England.
- Electoral district or constituency.