‘To make a soft sound, like that of breathing or a gentle wind. To move or cause to move lightly as if blown by a puff of air. A slight movement of air, or the sound of such a movement. Also ‘whiffle cut’, referring to the very short haircut worn by US soldiers in World War II.’
‘Ternlike whiffle and spin of birds over the water…’
Source: OED and Barry Lopez, Arctic Dreams, p. 122