To inflict oral sex on a partner voraciously. A partner, for a normal blowjob, will go up and down, but when your partner "swings that neck", it involves a wide range of motion for suckage to occur.

example: a fast, almost violent, circular or triangular motion.
Swing That Neck: a vicious, fast, and movement filled blowjob, where the partner sucking will go ape shit on the dick.

"She didn't just suck it man, she swung that neck. It was crazy. "
by Davonte Stevenson May 20, 2016
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