I could be wrong but, I'm not sure there is anything in the light that would make a chirping noise besides the fan. The fans can get gunked up and make noise (although I haven't had mine 'chirp' before). I'd do a couple of things: 1) clean the fan either by just taking off the fan guard and cleaning or actually removing the fan; and 2) do a factory reset (and a fresh calibration) of the light. You might also want to disable the buttons for the light inside Ecosmart Live. The capacitive buttons also seem to be the origin of a number of issues when people are having problems. I disable mine (and have some that have been disabled for a couple of years) and haven't missed them.
If its the fan causing the noise and cleaning doesn't help, you may need a new fan. I don't know how the fans are constructed but, chirping may be indicative of a bad bearing(?)
Ecotech has great customer service. I wouldn't be afraid to give them a call either.
Good luck.
Matt