"The excitations in a spin liquid (not a state liquid) are not literally an electron split in pieces. Rather, the collective excitations of a system are quasiparticles which carry fractions of the electron's quantum numbers (charge, spin, and statistics). This kind of fractionalization has already been convincingly shown to occur in fractional quantum Hall systems, where experiments have detected fractional electric charge (fractional statistics are harder to detect experimentally).
If you inject an electron into a fractional quantum Hall system with quasiparticle charge e/3 (this is the most robust FQHE state), it will be a linear combination of three quasiparticles, and you will see three of these quasiparticles which can move around independently. But the fact that there must be three quasiparticles is a reflection of the fact that the underlying charge carriers of the system are electrons with charge e. In addition, you would only be able to create these quasiparticles in multiples of three."
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