The most common and most likely answer to this crossword clue is the 7 letter word HAIRNET
I've seen this crossword clue in Independent
H
A
I
R
N
E
T
More clues leading to the result HAIRNET
- The rain ruined covering for thatch?
- Overhead protection from the rain
- It stops bits of a fishmonger’s mullet mixing with cod
- Cover for the head from the rain
- Around Barnet, this keeps the rain off
- It’s positioned around locks in the rain, strangely
- At sea the rain warrants cover for head
- Musical number coming up — might that go over one’s head?
- A woman may wear this headgear round Ireland, almost new
- Top cover from hospital broadcast on web
Buddy explains!

The straight part
We know that "Overhead protection" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case overhead protection = hairnet.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 HAIRNET mean?
HAIRNET noun- A net designed to keep hair up and out of the way, e.g. while cooking.