The most common and most likely answer to this crossword clue is the 4 plus 5 letter word HEAD START
I've seen this crossword clue in The Guardian
H
E
A
D
S
T
A
R
T
More clues leading to the result HEAD START
- Son tucking into nut pastry and Boost?
- Trouble about Director and lead actor making early beginning
- . Advantage enjoyed by president’s floozie?
- One side of the coin is to easy lover’s advantage
- An advantage being the principal’s floozy
- Spin result, maybe cutting advantage
- It offers a better chance of success being the boss’s moll
- Ambassador notices sharp edge
- Principal’s floozie has the advantage
- Reaction to toss-up? Pro gets early advantage
Buddy explains!

The straight part
We know that "advantage" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case advantage = head start.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.