Putin typically walks with a brisk, steady stride, while swinging his left arm - but keeping his right arm relatively still close to his jacket.
As if there isn't enough speculation and misinformation out there about Russia and Vladimir Putin, a team of British doctors decided (or were incentivized) to investigate Putin's "abnormality" in 2015 - probably hoping to justify some diagnosis of mental illness.
Instead, what they came up with was a totally invented, fictitious condition they called "gunslinger's gait" - also accusing several other top Russian officials of manifesting the symptom. They published their "results" in the prestigious British Medical Journal. You can read the original report here.
Comment: With a walk like that, you know he means business!