Can I speed the game up?

Yes, you can double the speed at any time during battle if you need to squeeze in just another round to get that loot! But beware - at 2x speed the skill-timing components of the game become harder.

You can change the speed of battle by tapping the x1 button found at the very top center of the battle screen. You can toggle it from 1x speed (normal speed) to 2x speed (double speed).