The most common and most likely answer to this crossword clue is the 4 letter word DARK
I've seen this crossword clue in The Times
D
A
R
K
More clues leading to the result DARK
- Very cloudy days leading to ship being created by Noah
- Departs with ship full of animals that’s not light
- Missing light vessel to east of delta
- Unlit rescue vessel behind dam
- Shakespeare’s lady of the night?
- It’s not Fair Isle, Bond’s last boat raced around
- Died on boat? That’s not fair
- Hard to understand when BBC drama axes the first three characters
- Five hundred on vessel without light
- Night and day shelter
Buddy explains!

The straight part
We know that "of the night" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case of the night = dark.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 DARK mean?
DARK adjective- Having an absolute or (more often) relative lack of light.
- (of colour) Dull or deeper in hue; not bright or light.
- Hidden, secret, obscure.
- Without moral or spiritual light; sinister, malign.
- Conducive to hopelessness; depressing or bleak.
- Lacking progress in science or the arts; said of a time period.
- With emphasis placed on the unpleasant aspects of life; said of a work of fiction, a work of nonfiction presented in narrative form or a portion of either.
- A complete or (more often) partial absence of light.
- Ignorance.
- Nightfall.
- A dark shade or dark passage in a painting, engraving, etc.
- To grow or become dark, darken.
- To remain in the dark, lurk, lie hidden or concealed.
- To make dark, darken; to obscure.