The most common and most likely answer to this crossword clue is the 6 letter word TEASED
I've seen this crossword clue in Financial Times
T
E
A
S
E
D
Buddy explains!

The straight part
We know that "Being made fun of" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case being made fun of = teased.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 TEASED mean?
TEASED verb- To separate the fibres of a fibrous material.
- To comb (originally with teasels) so that the fibres all lie in one direction.
- To back-comb.
- To poke fun at.
- To provoke or disturb; to annoy.
- To manipulate or influence the behavior of, especially by repeated acts of irritation.
- To entice, tempt.
- To show as forthcoming, in the manner of a teaser.