The most common and most likely answer to this crossword clue is the 5 letter word HARRY
I've seen this crossword clue in The Sunday Telegraph
H
A
R
R
Y
More clues leading to the result HARRY
- Hound dangerous when one’s going for run
- Badger runs repeatedly into grass
- Sack for prince
- Pester bishop to visit literary festival
- Badger runs through mown grass
- Pester 25 across’s uncle (6]
- A royal badger?
- Pester prince, roller in the grass?
- Badger member of undistinguished trio
- Bishop overcome by kind of fever or bug
Buddy explains!

The straight part
We know that "Badger" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case badger = harry.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 HARRY mean?
HARRY verb- To plunder, pillage, assault.
- To make repeated attacks on an enemy.
- To strip, lay waste, ravage.
- To harass, bother or distress with demands, threats, or criticism.