The most common and most likely answer to this crossword clue is the 5 plus 2 plus 5 letter word SERVE AT TABLE
I've seen this crossword clue in Financial Times
S
E
R
V
E
A
T
T
A
B
L
E
Buddy explains!
The straight part
We know that "Wait/to start a game of ping- pong" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case wait/to start a game of ping- pong = serve at table.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.