My 3B-ST did it. On power-up a zzzzt and on power down, a clearly audible click that was in the high-mid/low-high freqency range in pitch. Nothing alarming but a clear noise.
My 3B-ST was serviced under warranty for another issue - ongoing mechanical hum - with a new power supply and capacitors installed. But after this, I still had the same power up an power down noises - seems normal for ST.
My current SST2 series amp does it to on both on and off but the off click is very silent - less loud definitely than the ST series.
Hope this helps.