The most common and most likely answer to this crossword clue is the 11 letter word EXPERIENCED
E
X
P
E
R
I
E
N
C
E
D
More clues leading to the result EXPERIENCED
Buddy explains!

The straight part
We know that "Wise" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case wise = experienced.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 EXPERIENCED mean?
EXPERIENCED verb- To observe certain events; undergo a certain feeling or process; or perform certain actions that may alter one or contribute to one's knowledge, opinions, or skills.
- Having experience and skill in a subject.
- Experient.