The most common and most likely answer to this crossword clue is the 5 letter word SOOTY
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More clues leading to the result SOOTY
Buddy explains!

The straight part
We know that "Sweep often accompanies me/describing chimneys" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case sweep often accompanies me/describing chimneys = sooty.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 SOOTY mean?
SOOTY verb- To blacken or make dirty with soot.
- Of, relating to, or producing soot.
- Soiled with soot
- Of the color of soot.
- Dark-skinned; black.