The most common and most likely answer to this crossword clue is the 5 letter word ABOVE
I've seen this crossword clue in The Daily Telegraph
A
B
O
V
E
More clues leading to the result ABOVE
- Too respectable to hum during prayer
- Sailor almost finished in the crow’s nest?
- Bad smell in street overhead
- Veto bad nominee mistakenly named earlier
- Kosher meals over first
- US president storing old volume on the next floor up?
- Surpassing food, kosher
- Honest sailor loves naked company administrators
- It’s beyond the directors to be honest
- Chess player’s hand moves here without deception
Buddy explains!

The straight part
We know that "overhead" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case overhead = above.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 ABOVE mean?
ABOVE noun- Heaven.
- Something, especially a person's name in legal documents, that appears higher on the same page or on a preceding page.
- Higher authority.
- Betterment, raised status or condition.
- Of heaven; heavenly.
- (by ellipsis) Being located higher on the same page or on a preceding page.
- Directly overhead; vertically on top of.
- Higher in the same page; earlier in the order as far as writing products go.
- Into or from heaven; in the sky.
- In a higher place; upstairs; farther upstream.
- Higher in rank, power, or position.
- In addition.
- More in number.
- Above zero; above freezing.
- On the upper half or the dorsal surface of an animal.
- Physically over; on top of; worn on top of, said of clothing.
- In or to a higher place; higher than; on or over the upper surface.
- Farther north than.
- Rising; appearing out of reach height-wise.
- Higher than; superior to in any respect; surpassing; higher in measure, degree, volume, or pitch, etc. than; out of reach; not exposed to; not likely to be affected by; incapable of negative actions or thoughts.
- Higher in rank, status, or position.
- In addition to; besides.
- Surpassing in number or quantity; more than.
- In preference to.
- Too proud to stoop to; averse to; disinclined towards;
- Beyond; on the other side.
- Upstage of.