The most common and most likely answer to this crossword clue is the 10 letter word RE-ENGAGED
I've seen this crossword clue in The Guardian
R
E
-
E
N
G
A
G
E
D
Buddy explains!

The straight part
We know that "taken back" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case taken back = re-engaged.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.
What does RE-ENGAGED mean?
RE-ENGAGED verb- To engage again