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$1T$-TiSe$_2$ is believed to posses a soft electronic mode, i.e., plasmon orexciton, that might be responsible for the exciton condensation andcharge-density-wave (CDW) transition. Here, we explore collective electronicexcitations in single-layer $1T$-TiSe$_2$ by using the ab-initioelectromagnetic linear response and unveil intricate scattering pathways oftwo-dimensional (2D) plasmon mode. We found the dominant role of plasmon-phononscattering, which in combination with the CDW gap excitations leads to theanomalous temperature dependence of the plasmon linewidth across the CDWtransition. Below the transition temperature $T_{\rm CDW}$ a stronghybridization between 2D plasmon and CDW excitations is obtained. These opticalfeatures are highly tunable due to temperature-dependent CDW gap modificationsand are argued to be universal for the CDW-bearing 2D materials.

Plasmon excitations across the charge-density-wave transition in single layer TiSe$_2$