Cryptic crossword clue
“Don’t stop upsetting party!” — PM receiving one side’s cheers 4,6

The most common and most likely answer to this crossword clue is the 4 plus 6 letter word GOOD HEALTH

I've seen this crossword clue in The Guardian
G
O
O
D
H
E
A
L
T
H

Buddy explains!

The straight part
We know that "cheers" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cheers = good health.
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.

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