The most common and most likely answer to this crossword clue is the 3 plus 5 letter word TOY STORY
I've seen this crossword clue in The Guardian
T
O
Y
S
T
O
R
Y
More clues leading to the result TOY STORY
- Plays conservative film
- Plays followed by blue film
- Film or plays, right?
- Flirts with right-winger, getting one animated
- Trivial romance made by D
- Plays Cameron in film
- Plays, and blue film
- Play second fiddle around primary role in movie
- Play, novel and movie
- Animation from Conservative’s disheartened another
Buddy explains!

The straight part
We know that "one animated" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one animated = toy story.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.