The most common and most likely answer to this crossword clue is the 7 letter word SNUFFLE
S
N
U
F
F
L
E
More clues leading to the result SNUFFLE
Buddy explains!

The straight part
We know that "crying sound" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case crying sound = snuffle.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 SNUFFLE mean?
SNUFFLE noun- An act of snuffling; sniffing loudly
- To sniff or smell with the nose loudly and audibly.
- To speak through the nose; to breathe through the nose when it is obstructed, so as to make a broken sound.