This setup is suited for active current measurements only or current numbers, which are higher than min measurable currents using particular current probe (with current probe and oscilloscope which we have in our lab, we could measure current numbers accurately which are higher than 10mAmp).
Make sure FULL bandwidth is selected for the channel where current probe is connected this is to make sure you do not miss out any glitch/spike while measuring currents.
Calibrate current probe before connecting across supply line and align current direction mark (arrow) on current probe with current direction in supply line (if not you will see negative currents on the oscilloscope).
Always feed external 3.3 V supply at VBAT_CC pin and connect current probe across this supply line and measure current.
For the CC3200Launchpad : Connecting wire across jumper(J12) is not a good method, since this will alter the DCDCs inductor values.
Check the current limit that you have set for the external supply, lower current limit may RESET the device.
Calibrate for voltage drop across the wire connecting supply to the device (use short and multi strand wire).