The most common and most likely answer to this crossword clue is the 9 letter word HEDONISTS
I've seen this crossword clue in The Times
H
E
D
O
N
I
S
T
S
More clues leading to the result HEDONISTS
- Edith relaxing with sons: they seek pleasure
- Pleasure seekers who may turn out to be dishonest
- They’re after a good time, terribly dishonest
- People who seek pleasure are remarkably dishonest
- Scholar is in the midst of robberies by people seeking pleasure
- Peculiarly dishonest people looking for a good time
Buddy explains!

The straight part
We know that "they seek pleasure" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case they seek pleasure = hedonists.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 HEDONISTS mean?
HEDONISTS noun- Someone devoted to hedonism.