The most common and most likely answer to this crossword clue is the 6 letter word BUTTER
I've seen this crossword clue in The Guardian
B
U
T
T
E
R
More clues leading to the result BUTTER
Buddy explains!

The straight part
We know that "contribution to continental breakfast" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case contribution to continental breakfast = butter.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 BUTTER mean?
BUTTER noun- A soft, fatty foodstuff made by churning the cream of milk (generally cow's milk).
- Any of various foodstuffs made from other foods or oils, similar in consistency to, eaten like or intended as a substitute for butter (preceded by the name of the food used to make it).
- Any specific soft substance.
- A smooth plane landing.
- To spread butter on.
- To move one's weight backwards or forwards onto the tips or tails of one's skis or snowboard so only the tip or tail is in contact with the snow.
- To increase (stakes) at every throw of dice, or every game.
- Someone who butts, or who butts in.