The new linear molecule Ag-C C-Cl has been detected and fully characterized by means of rotational spectroscopy. It was synthesized by laser ablation of a silver rod in the presence of a gaseous sample containing a low concentration of CCl4 in argon, cooled to a rotational temperature approaching similar to 1-3 K through supersonic expansion, and analyzed by chirped-pulse, Fourier transform microwave spectroscopy. Six isotopologues were investigated, and for each the spectroscopic constants B-0, D-J and chi(aa)(Cl) were determined. The B-0 values were interpreted to give the following bond lengths: r(Ag-C) = 2.015(14) angstrom and r(C-Cl) = 1.635(6) angstrom, with r(C=C) = 1.2219 angstrom assumed from an ab initio calculation at the CCSD(T)/aug-cc-pV5Z level of theory. The Cu analogue Cu-C C-Cl was similarly identified and characterized.