The most common and most likely answer to this crossword clue is the 11 letter word GALLIVANTED
I've seen this crossword clue in The Daily Telegraph
G
A
L
L
I
V
A
N
T
E
D
Buddy explains!

The straight part
We know that "wandered in pursuit of pleasure" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case wandered in pursuit of pleasure = gallivanted.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 GALLIVANTED mean?
GALLIVANTED verb- To roam about for pleasure without any definite plan.
- To flirt, to romance.