I assume your table gives 35.453 since that is what you have been quoting.
Now (from wikipedia):
“Chlorine has a wide range of isotopes. The two stable isotopes are 35Cl (75.77%) and 37Cl (24.23%). Together they give chlorine an atomic weight of 35.4527 g/mol.”
thus if your ‘old’ table gives 35.453 it is giving the ELEMENTAL mass which is based on the ratio of isotopes.
Wikipedia is God.