Finally beat Stage 4!!! You beat the Spider Climb without losing too much stamina by pressing the left and right arrows at the same time and quickly releasing and then pressing space about 0.4 seconds after. Repeat that to finish the first part. The G-Rope can be beaten if you do this sequence, pressing the keys and releasing quickly: Down, Space, Up, Space. You also want to have about 0.4 seconds in between your button presses.
Great game UnrealCanine!