The most common and most likely answer to this crossword clue is the 1 plus 4 plus 2 plus 4 letter word A GAME OF SNAP
I've seen this crossword clue in Financial Times
A
G
A
M
E
O
F
S
N
A
P
Buddy explains!
The straight part
We know that "youngsters’ pastime" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case youngsters’ pastime = a game of snap.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.