The most common and most likely answer to this crossword clue is the 7 plus 6 letter word BELGIAN WAFFLE
I've seen this crossword clue in The Daily Telegraph
B
E
L
G
I
A
N
W
A
F
F
L
E
Buddy explains!
The straight part
We know that "Something perhaps at the breakfast table" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case something perhaps at the breakfast table = belgian waffle.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.