Spiders are known for making clicking noises. Nesting spiders often lie in wait for hours and days at a time waiting for unfortunate victims. They are tuned to the vibrations of the environment and any slight disturbance to their web will provoke a reaction. This attunement to vibrations is based on their hair - which form "elaborate arrays of sensors".
Spiders have no need for complex vocal cords and air breathing, although they do require oxygen. Combined with a reworked breathing system, I imagine spider breathing and communication would sound like a series of fast rhythmic clicks and hisses.