Proper way to measure an AC signal with an oscilloscope
Specs CT: AC range 0.1~100 A  333.3 mV±1 % @ 100A into 10 Ω 50/60 Hz

 - primary turn = 1  Secondary turns=3000



i.e. 300mA/mV so If you expect 10mV, then this would correspond to 3A
Consider adding gain of x10 or x100 instead of x1 which serves no purpose from a low resistance.



  
  Make sure only 1 wire is inserted in core. (line or neutral, I prefer neutral around DC circuit)
  Using both wires cancels out flux and net result is zero.