The most common and most likely answer to this crossword clue is the 5 letter word DINKY
I've seen this crossword clue in Independent
D
I
N
K
Y
Buddy explains!

The straight part
We know that "small and neat" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case small and neat = dinky.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 DINKY mean?
DINKY adjective- Tiny and cute; small and attractive.
- Tiny and insignificant; small and undesirable.
- A person in a relationship with double income and no kids