Well, that one can be chalked up to US/UK spelling differences—"storey" is not correct US spelling.
Another thing casual or infrequent solvers should be aware of: day of week matters. NYT puzzles are easiest on Monday, getting progressively harder throughout the week reaching a peak on Saturday. The Sunday puzzle is midweek difficulty, but bigger.
This article [2] gives an example of how the same 4 letter word might be clued on Monday and Saturday:
Monday: “Nabisco cookie”, “Cookie with creme filling”, or “‘Twist, Lick, Dunk’ cookie”
Saturday: “Snack since 1912”, “It has 12 flowers on each side”, or “Sandwich often given a twist”
[1] https://www.nytimes.com/crosswords/tips-and-tricks
[2] https://www.nytimes.com/guides/crosswords/how-to-solve-a-cro...
Some freely available UK cryptics:
* Guardian Quiptic: https://www.theguardian.com/crosswords/series/quiptic/latest
* Guardian Everyman: https://www.theguardian.com/crosswords/series/everyman
* Chambers: https://chambers.co.uk/puzzles/cryptic-crosswords/
RANDOM ASIDE: My favourite anagram, which has been involved a couple of times in UK cryptic clues is:
VINDALOO AND RICE which is an anagram of LEONARDO DA VINCI