Hybrid quantum systems have emerged as a key platform for promoting breakthroughs of quantum technology and sustainable development of quantum science. Cavity optomechanical systems, with their high integrability and strong tunability, show significant application values in fields such as electro-optomechanical transduction, quantum state preparation, and quantum precision metrology. It is hailed as a milestone in the history of photonics by Nature. Recent advances in laser cooling and micro/nanofabrication techniques have significantly enhanced the ability to manipulate and observe microscopic quantum systems such as atoms, photons, and electrons, facilitating the measurement technique transition from classical sensitivity limits to quantum effect-based supersensitive sensing, achieving exponential performance gains. Here, we review the latest advances in quantum squeezing-enhanced quantum sensing performances, emphasizing the key advantages of quantum compression in achieving ultra-sensitive quantum sensing. From a broader perspective, leveraging squeezing-enhanced supersensitive quantum sensing provides a promising path for improving performance in gravitational-wave detection, dark-matter searches, quantum illumination, and biomolecular tracking.