Unless it has a lifetime warranty I would open and inspect it and clean any dust out, then while open, power it up connected to the system (if it needs a minimum load to make the noise) try to locate the component making the noise, being careful not to electrocute yourself in the process.  
 
By chirp do you mean a very short high pitched sound?  If it were longer I might wonder if the fan is going out, but otherwise probably something resonating, a magnetic like a line filter, transformer, inductor, or possibly a disc capacitor.  In some cases you can apply pressure to a component with something non-conductive like a piece of wood., or try freeze spray to cool it and contract the material.
This all assumes you are comfortable with a soldering iron if you find a replacement component. If not, what else is there to do?  Maybe coat a noisy inductor with epoxy to quiet it but those I've found which were noisy tended to make a very high pitched hum rather than a brief chirp sound.