The most common and most likely answer to this crossword clue is the 6 plus 7 letter word INGRID BERGMAN
I've seen this crossword clue in The Guardian
I
N
G
R
I
D
B
E
R
G
M
A
N
More clues leading to the result INGRID BERGMAN
Buddy explains!

The straight part
We know that "Actor" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case actor = ingrid bergman.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.