The most common and most likely answer to this crossword clue is the 5 plus 8 letter word SALAD DRESSING
I've seen this crossword clue in The Guardian
S
A
L
A
D
D
R
E
S
S
I
N
G
More clues leading to the result SALAD DRESSING
- South Africa left dealing with savoury sauce
- Girl briefly returns, calling for seasoning
- Rough grassland: side which might go on greens?
- Saucy adornment for Caesar, perhaps
- Israeli regularly speaking with relish?
- Student extremely anxious over labelling for vinaigrette, perhaps
- Sauce collected by vassal, address in Greenwich
- Scally oddly dealing with sauce
- The sauce of girl making a speech
- Little Sarah given talking to for sauce
Buddy explains!

The straight part
We know that "Saucy adornment for Caesar, perhaps" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case saucy adornment for caesar, perhaps = salad dressing.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.