The spring is in close proximity to the pickups which are both in a cavity. The lower the height adjustment of the pickups will make them closer to springs inside the cavity. The springs are made from a tempered spring steel and usually chrome or nickel plated. The spring steel is a ferrous and attracted to a magnetic field or your pickups. If the springs are making a clicking noise then you can use a piece of insulation to help reduce the problem. Try changing the angle of the claw that is fastened to the body cavity and make sure there are no snags from the ground wire that soldered to it.
If the claw has a sharp burr, then you need to carefully file or sand it to smooth the sharp edges. This will allow the spring to move more freely when pressing down on the tremolo arm. Any vibration or noise in the springs can be transmitted and disturb the magnetic field in the pickups. Jimi Hendrix used this to his advantage and removed the back cover from his Strat so he could tap and manipulate the springs. I saw him pull on them and lower his tremolo to get interesting sounds.
WRITTEN ON JUNE 12, 2015, BY