The most common and most likely answer to this crossword clue is the 7 plus 5 letter word PRIVATE LIVES
P
R
I
V
A
T
E
L
I
V
E
S
Buddy explains!
The straight part
We know that "Early parts of play: rôles include Victor, Amanda; they encounter – lucklessly, in vacation – Elyot, Sibyl!" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case early parts of play: rôles include victor, amanda; they encounter – lucklessly, in vacation – elyot, sibyl! = private lives.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.