The most common and most likely answer to this crossword clue is the 11 letter word CHEESEBOARD
I've seen this crossword clue in The Guardian
C
H
E
E
S
E
B
O
A
R
D
More clues leading to the result CHEESEBOARD
Buddy explains!
The straight part
We know that "Support for Leicester" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case support for leicester = cheeseboard.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 CHEESEBOARD mean?
CHEESEBOARD noun- A board used for serving cheeses.