The most common and most likely answer to this crossword clue is the 8 letter word BLOWLAMP
I've seen this crossword clue in Independent
B
L
O
W
L
A
M
P
More clues leading to the result BLOWLAMP
Buddy explains!

The straight part
We know that "One carrying a burning flame" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one carrying a burning flame = blowlamp.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 BLOWLAMP mean?
BLOWLAMP noun- A burner that burns a fuel in air to produce a hot flame; a blowtorch