The most common and most likely answer to this crossword clue is the 6 plus 5 letter word ELDEST HANDS
I've seen this crossword clue in The Times
E
L
D
E
S
T
H
A
N
D
S
Buddy explains!
The straight part
We know that "those needing to play first" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case those needing to play first = eldest hands.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.