The most common and most likely answer to this crossword clue is the 5 plus 8 letter word SMALL CAPITALS
I've seen this crossword clue in Independent
S
M
A
L
L
C
A
P
I
T
A
L
S
Buddy explains!
The straight part
We know that "No big case" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case no big case = small capitals.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.