The most common and most likely answer to this crossword clue is the 7 plus 6 plus 1 plus 2 letter word CURTAIN RAISER - DD
C
U
R
T
A
I
N
R
A
I
S
E
R
-
D
D
Buddy explains!

The straight part
We know that "Machine in the wings/first thing seen in theatre" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case machine in the wings/first thing seen in theatre = curtain raiser - dd.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.