The most common and most likely answer to this crossword clue is the 7 letter word SEVERER
I've seen this crossword clue in Independent
S
E
V
E
R
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More clues leading to the result SEVERER
Buddy explains!

The straight part
We know that "comparatively serious" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case comparatively serious = severer.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 SEVERER mean?
SEVERER adjective- Very bad or intense.
- Strict or harsh.
- Sober, plain in appearance, austere.