The most common and most likely answer to this crossword clue is the 7 letter word SASHAYS
S
A
S
H
A
Y
S
Buddy explains!

The straight part
We know that "Walks with swagger" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case walks with swagger = sashays.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 SASHAYS mean?
SASHAYS noun- A chassé.
- A sequence of sideways steps in a circle in square dancing.