The most common and most likely answer to this crossword clue is the 6 letter word ALBEIT
I've seen this crossword clue in The Guardian
A
L
B
E
I
T
More clues leading to the result ALBEIT
- A student has to live with it, though
- Even though formal wear turning up, liturgical vestment put on first
- Though disrupted timetable, but not satisfied
- Settled shelters remain, though
- Although the Prince Consort, one takes the place of King!
- Though abstinent initially, engineer drunk bottles
- . Though fallible at times, appeal should succeed
- ...although it takes one pound to collaborate
- ... although part of the habit is collaboration
- Even though criminal, risk capturing India
Buddy explains!

The straight part
We know that "Though" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case though = albeit.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 ALBEIT mean?
ALBEIT conjunction- Although, despite (it) being.