Quite so, but FWIW, in post #2, I did imply that an engineer would be required to investigate this.
A small amount of smoke could be an electrolytic capacitor popping, or could be an arc between worn switch contacts igniting a small amount of oil or grease, or could be a shorted wire overheating its insulation. Whatever the cause, it needs investigating by a qualified engineer.
But let's not be too hard on the OP - it seems to me that the company were less than sympathetic when they reported the fault, and shame on the company for not taking this seriously and being much more proactive - have they not undergone CRM training?
Given the apparent dismissive attitude of the CFI, perhaps the OP felt they could not talk to anyone in the company - hence them asking for advice here. It is not necessarily easy to go up to other instructors whom you don't know in the crew room and ask their opinion or advice.
We all (should) know how serious, smoke in the cockpit can be, and I am very surprised at the CFI's attitude and apparent lack of concern regarding the fault.