The most common and most likely answer to this crossword clue is the 6 letter word DAMAGE
I've seen this crossword clue in The Daily Telegraph
D
A
M
A
G
E
More clues leading to the result DAMAGE
- Harm caused by eg a crazy reversal
- Harm poster, overturning iconic shot, removing head
- Before time, check cost
- . Injury lawyer and graduate bring in brief
- Cost of performer in panto receiving silver
- Cost of keeping a good woman
- Injury puts years on mother
- Spoil mother with advance of years
- Restraint leading to time loss
- Check then decline cost
Buddy explains!

The straight part
We know that "cost" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cost = damage.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 DAMAGE mean?
DAMAGE noun- Injury or harm; the condition or measure of something not being intact.
- Cost or expense.
- To impair the soundness, goodness, or value of; to harm or cause destruction.
- To undergo damage.