Sounds like the inside tread locks rubbing against the sway bar/links, rubbing the front fender behind the blinker, rubbing the upper portion of the fender/flare, etc. It appears to happen when at full compression and turning the tires to the left.
If it happens more turning left than right, then the axle is not centered under the frame at static height. When you add lift and not readjust the track bar to recenter the axle under the frame, the axle is drawn to the driver's side because of the fixed track bar length. To add, he's using stock rims and larger width tires. (Didn't see any evidence of wheel spacers. Take a look of the rear inner well and upper coil mount. With too much width tire on stock rims, he'll have rubbing there as well during cycling.)
