As @Peter Green suggests, I would definitely recommend wrapping the wire around the current clamp - indeed I would wrap both Live and Neutral in opposite directions so this will act as a multiplier!
Given the quoted maximum of 200A (for a single core) and the OP's Switzerland location where single-phase plugs are rated at 10 or 16 Amprms at 250 Vrms then 10 / 6 loops of both wires respectively means that a 2.2KW load (divided by a nominal 250Vrms) would produce an 8.8rms Amp current which if multiplied as suggested by 2x10 or 2x6 respectively would appear to be 176 or 105.6 Arms .
Using the 1mV/A conversion factor of the clamp this would yield a representative voltage of 176 or 105.6 mVrms. One thing that is not immediately obvious is that the Digital-Multi-Meters that the clamp is designed to be connected to is a High Impedance (probably of the order of 10 MOhms) to achieve this you are probably going to want to use an Op-Amp circuit - however you also want a rectified and smoothed DC voltage to feed into the Pi - whereas the voltage you are getting is an AC one.
In this situation however the alternating voltage is in you favour - you can capacitively couple the AC voltage into the Op-Amp with a gain of somewhere between 10 to 20 times (very easy to achieve) and capacitively couple the output to a half wave rectifier (diode) feeding a low-pass filter, then you can configure things so that you get a voltage that is of a magnitude (but clamped to a maximum of 3.3V !) that the Pi can monitor directly to confirm that a certain current level has been reached.
The only proviso is that if you are splitting a mains lead so that you can wrap the individual (live and neutral) cores around the clamp is that that will remove one of the two layers of insulation originally in the main cable, either you will need to enclose those wires and the clamp in a suitable box or you will need to make an in-line "adapter".
My suggestion for this adapter is a "loop" of main cable sufficient to wrap around the clamp the required 6 or 10 or whatever number of times and two more short lengths of the same cable with a plug on one length and a socket on the other and a suitable terminal block and an enclosure with five or six terminals. Wire the "plug" lead to three terminals and the "socket" lead to the other three (or two and use a common (the middle) terminal earth for a five terminal block case). Then you wire the neutral and earth wires from one end of the "loop" lead and the live from the other end to one set of terminals and the other wires to the other set of terminals. The idea here is to get the current flowing in the live wire in the "loop" to be flowing in the same direction as that in the neutral wire - in a normal cable they will be in opposite directions. Now we have that reversed we can simply coil the whole "loop" wire around the measuring clamp with the properly doubly insulated cable safely in the clamp, and provided the terminal block is properly put together with clamping/strain relieves on all four cables (the "plug" one in, the "socket" one out and the two ends of the "loop" cable) and securely closed to enclose the individual cable wires you will have a "safe" construction - just do not leave any magneticly sensitive things like credit cards in the vicinity of that loop when it is powered up and current is flowing!