The most common and most likely answer to this crossword clue is the 7 letter word GRANARY
I've seen this crossword clue in Independent
G
R
A
N
A
R
Y
More clues leading to the result GRANARY
- Managed to enter Cooper’s store
- Family member with a really empty store
- Angry, upset about a right sort of loaf
- Relation with a rarely empty store
- Father’s mum takes a line – old folks’ home
- Mr Cooper has managed to get locked in storehouse
- Man shot inside shed
- Relation with a rarely empty storehouse
- Old lady gives up knight for a royal storehouse
- Dorian dashed back inside store for cereal
Buddy explains!

The straight part
We know that "store for cereal" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case store for cereal = granary.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 GRANARY mean?
GRANARY noun- A storage facility for grain or sometimes animal feed.
- A fertile, grain-growing region.