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Motivated by recent observations of anomalous composite Fermi liquids in twisted TMDs, we study quantum point-contact tunneling between a composite Fermi liquid and a superconductor/quantum Hall insulator. Starting from a properly quantized effective field theory, we analyze boundary effects, compute the tunneling current, and examine quantum corrections of the pairing susceptibility. The universal feature of the composite fermi liquid is given by the power-law behavior of the I-V curve.