The most common and most likely answer to this crossword clue is the 4 letter word SNUB
I've seen this crossword clue in The Times
S
N
U
B
More clues leading to the result SNUB
- Refuse to take notice of cakes brought around
- Cut dead old ends off, having turned up something that smells
- Upside down cakes put down
- Short and flat sandwich needs new filling
- Rebuff press employee round back of inn
- Cut bread the wrong way
- Such noses? Upturned & blunt, primarily!
- Sandwich with a bit of nail in it? That’s an insult
- Cut flipping bread rolls
- Rebuff introduction to Nemo aboard the Nautilus?
Buddy explains!

The straight part
We know that "put down" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case put down = snub.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 SNUB mean?
SNUB noun- A deliberate affront or slight.
- A sudden checking of a cable or rope.
- A knot; a protuberance; a snag.
- To slight, ignore or behave coldly toward someone.
- To turn down; to dismiss.
- To check; to reprimand.
- To stub out (a cigarette etc).
- To halt the movement of a rope etc by turning it about a cleat or bollard etc; to secure a vessel in this manner.
- To clip or break off the end of; to check or stunt the growth of.
- Conspicuously short.
- Of the nose: flat and broad, with the end slightly turned up.
- (of a polyhedron) Derived from a simpler polyhedron by the addition of extra triangular faces.
- To sob with convulsions.