The most common and most likely answer to this crossword clue is the 6 plus 4 letter word STREET CRED
I've seen this crossword clue in The Guardian
S
T
R
E
E
T
C
R
E
D
More clues leading to the result STREET CRED
- Cryptic setter embarrassed by constant approval by modish urbanites?
- Respect shown in tram, lacking in a journalist
- Setter’s cryptic clue opening rose to show acceptability with the young
- Teds err wandering round etc. – what urban youth aspires to?
- Setter upset about communist having such acceptability?
- Flog trade secret, losing a measure of respect with the kids
- Setter upset about bolshie image, that’s cool
- Desire, say, lacking in a journalist, and respect
- Secret trend spread with no new popular acceptance
- Trust given to someone who’s on the way? …
Buddy explains!

The straight part
We know that "acceptability with the young" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case acceptability with the young = street cred.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.