The most common and most likely answer to this crossword clue is the 4 letter word SUSS
I've seen this crossword clue in Independent
S
U
S
S
More clues leading to the result SUSS
- Children’s doctor lacking energy to work out
- Realise social security covers America
- Having changed top, bother to work out?
- Three sisters holding what sounds like yew twig
- Starts to see university student showing sharpness of mind
- Suspect Spock’s lead, overpowering Enterprise, say
- American aboard ship is known for social astuteness
- Find out about American saints
- Discover pair of smalls worn by American
Buddy explains!

The straight part
We know that "sharpness of mind" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case sharpness of mind = suss.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 SUSS mean?
SUSS noun- Anything dirty or muddy; a dirty puddle.
- Suspicious behaviour; the act of loitering with intent.
- To arrest for suspicious behaviour.
- Suspicious.
- Social nous.
- (often with "out") To discover, infer or figure out.
- To study or size up, to check out (examine).