The most common and most likely answer to this crossword clue is the 7 letter word LAERTES
I've seen this crossword clue in The Guardian
L
A
E
R
T
E
S
More clues leading to the result LAERTES
- Put right over Greek king
- Stage layout material recalled role in Hamlet
- Lear set to be disturbed Shakespearean character
- Scenery material recalled character in Hamlet
- Classical father arranged authentic backing
- Classical father leers at bum
- Dennis accepts rate reform — he’s no friend of Hamlet
- 15 Shakespeare character’s earliest manifestation lacks independence
- Put up scenery with genuine character from Elsinore
- Real trouble upset Ophelia’s brother
Buddy explains!

The straight part
We know that "he’s no friend of Hamlet" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case he’s no friend of hamlet = laertes.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.