Web swinging controls
Hold R1 to swing. press X to zip while swinging.
Tap L2 and R2 to zip to location
Hold L2 and R2 and tap X to vault off a location.
Hold R2 to run on walls and X to zip up walls/buildings.
Triangle to web attack
O to Dodge (when spider-sense tingles) or evade
L1/R1 swing objects to attack
Tap R1 repeatedly to web enemies
Build focus for extra damage by attacking. Build focus faster by landing combos and air attacks.
Combo: hold SQUARE to pop up enemies in the air, then hit triangle to slam the down
More combos can be found in game menu.