The most common and most likely answer to this crossword clue is the 9 letter word FAST-DAYS
I've seen this crossword clue in The Times
F
A
S
T
-
D
A
Y
S
Buddy explains!

The straight part
We know that "Dates for the pious" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case dates for the pious = fast-days.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.