To fail to acknowledge an embarrassing action, by either acting as though it was intentional or pretending it simply didn't happen.
Similar to the US phrase play it off.
I did a Hitler salute, but when no-one laughed I decided to style it out by pretending to scratch my armpit instead
by brelson July 28, 2008
To see what you're all about, decide whether you're cool or you're a little narc-ass bitch.
"Yo, if you a loudmouth, tryin' to wile out,
And we see just how you layin and we peeped yo' style out,
(You a punk!) When you chillin out in front of your truck and get stuck...
That's how niggaz get fucked up."
-D12, "That's How"
by Nick D July 19, 2004