The most common and most likely answer to this crossword clue is the 5 plus 3 letter word PRICE TAG
I've seen this crossword clue in The Guardian
P
R
I
C
E
T
A
G
More clues leading to the result PRICE TAG
- Parking car I get careless - ticket!
- Cost per act I fixed, good
- Damage shower, adjusting cold tap: endless grief
- Great pic broadcast: what it cost?
- Cost in carpeting woven with no end of decoration
- Great pic for broadcast giving evidence of value
- Sign of damage?
- Cost of getting Katie and Mark together?
- Cost faced by prude drinking cold tea cocktail
- Rate game? This should show its worth
Buddy explains!

The straight part
We know that "Sign of damage" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case sign of damage = price tag.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.