The most common and most likely answer to this crossword clue is the 9 letter word CONSORTED
I've seen this crossword clue in The Times
C
O
N
S
O
R
T
E
D
More clues leading to the result CONSORTED
Buddy explains!

The straight part
We know that "Kept company" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case kept company = consorted.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 CONSORTED mean?
CONSORTED verb- To associate or keep company (with).
- To be in agreement.