Are CuCl and Cu2Cl2 equivalent?
$\ce{Cu2Cl2}$ is actually the dimer of cuprous(I) chloride $\ce{CuCl}$. Cuprous chloride dimerises and also trimerises and tetramerises in gas phase. The molecular structures of the species are measured with Gas-Phase Electron Diffraction and Quantum Chemical Calculations. Some information about the various species of cuprous chloride is given here:[1]


  The molecular geometry of gaseous cuprous chloride oligomers was determined by gas-phase electron diffraction at two different temperatures. Quantum chemical calculations were also performed for $\ce{Cu_nCl_n (n=1–4)}$ molecules. A complex vapor composition was found in both experiments. Molecules of $\ce{Cu3Cl3}$ and $\ce{Cu4Cl4}$ were present at the lower temperature (689 K), while dimeric molecules ($\ce{Cu2Cl2}$) were found in addition to the trimers and tetramers at the higher temperature (1333 K). All $\ce{Cu_nCl_n}$ species were found to have planar rings by both experiment and computation. The bond lengths from electron diffraction ($r_\mathrm g$) at 689 K are 2.166±0.008 Å and 2.141±0.008 Å and the $\ce{Cu-Cl-Cu}$ bond angles are 73.9±0.6° and 88.0±0.6° for the trimer and the tetramer, respectively. At 1333 K the bond lengths are 2.254±0.011 Å, 2.180±0.011 Å, and 2.155±0.011 Å, and the $\ce{Cu-Cl-Cu}$ bond angles 67.3±1.1°, 74.4±1.1°, and 83.6±1.1° for the dimer, trimer, and tetramer, respectively.


Reference

(1) Hargittai, M.; Schwerdtfeger, P.; Réffy, B.; Brown, R. The Molecular Structure of Different Species of Cuprous Chloride from Gas-Phase Electron Diffraction and Quantum Chemical Calculations. Chem. Eur. J. 2003, 9 (1), 327–333. DOI: 10.1002/chem.200390027