The most common and most likely answer to this crossword clue is the 9 letter word MINIDRESS
I've seen this crossword clue in The Daily Telegraph
M
I
N
I
D
R
E
S
S
More clues leading to the result MINIDRESS
Buddy explains!

The straight part
We know that "Frock that gives little wear" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case frock that gives little wear = minidress.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 MINIDRESS mean?
MINIDRESS noun- A woman's short dress with its hemline well above the knees, generally at mid-thigh level.