The most common and most likely answer to this crossword clue is the 8 plus 6 letter word MACARONI CHEESE
I've seen this crossword clue in The Times
M
A
C
A
R
O
N
I
C
H
E
E
S
E
More clues leading to the result MACARONI CHEESE
- Scot happened to eat speciality, English dish
- A care home’s nice new menu offering
- Scot happened to eat speciality European dish
- Burger or a Chinese may be? Simple last dish
- American chose to cook eastern dish
- American chose quirky English dish
- Dish one has designed with ceramic base
- One has ice cream melting? Eat it!
Buddy explains!

The straight part
We know that "menu offering" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case menu offering = macaroni cheese.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.