The most common and most likely answer to this crossword clue is the 3 letter word GUM
I've seen this crossword clue in Financial Times
G
U
M
More clues leading to the result GUM
- Set on backing fancier NZ fieldworker
- Drug, eg, I’m taking finally after troubling Victoria’s old dentist
- Stick with unhappy, losing side from Liverpool
- Something sticky kisser served up
- Sticky substance in drinking vessel recalled
- Face put the other way, it can stick
- Stick that may be chewed
- Stick that’s chewed
- Candy's face turned
Buddy explains!

The straight part
We know that "Stick/that may be chewed" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case stick/that may be chewed = gum.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 GUM mean?
GUM noun- (often in the plural) The flesh around the teeth.
- To chew, especially of a toothless person or animal.
- To deepen and enlarge the spaces between the teeth of (a worn saw), as with a gummer.
- Any of various viscous or sticky substances that are exuded by certain plants.
- Any viscous or sticky substance resembling those that are exuded by certain plants.
- Chewing gum.
- A single piece of chewing gum.
- (often in the plural) A gummi candy.
- A hive made of a section of a hollow gum tree; hence, any roughly made hive.
- A vessel or bin made from a hollow log.
- A rubber overshoe.
- A gum tree.
- (sometimes with up) To apply an adhesive or gum to; to make sticky by applying a sticky substance to.
- To stiffen with glue or gum.
- (sometimes with together) To inelegantly attach into a sequence.
- (with up) To impair the functioning of a thing or process.