The most common and most likely answer to this crossword clue is the 8 letter word COXCOMBS
I've seen this crossword clue in Independent
C
O
X
C
O
M
B
S
Buddy explains!

The straight part
We know that "swells" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case swells = coxcombs.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 COXCOMBS mean?
COXCOMBS noun- The cap of a court jester, adorned with a red stripe.
- The fleshy red pate of a rooster.
- (by extension) A foolish or conceited person; a dandy.