The most common and most likely answer to this crossword clue is the 6 letter word SPHINX
I've seen this crossword clue in The Times
S
P
H
I
N
X
More clues leading to the result SPHINX
- Serious offence outside public house by puzzler
- The latest hard, fashionable, Times puzzle setter
- Henry takes brief trip outside with unknown, enigmatic figure
- Husband involved in drive to Luxor’s third ancient Egyptian statue
- Crime spot attracts local person of mystery
- Hospital in drive to obtain unknown statue
- Puzzle setter cross after local entering error
- Ancient Greeks were riddled by it
- Someone enigmatic setting puzzlesfor beginners in Times
- P’s first to break bone by ancient statue
Buddy explains!

The straight part
We know that "enigmatic figure" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case enigmatic figure = sphinx.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 SPHINX mean?
SPHINX noun- A creature with the head of a person and the body of an animal (commonly a lion).
- A person who keeps his/her thoughts and intentions secret; an enigmatic person.
- A mandrill, Mandrillus sphinx, formerly classified a baboon, and called sphinx baboon.
- A sphinx moth.
- A sphincter.
- To decorate with sphinxes
- To adopt the posture of the Sphinx.
- To be inscrutable, often through silence
- To make one guess at the unknowable
- To befuddle
- For the feminine to co-opt, dominate, or devour the masculine, especially from a paranoid fear of this happening