Everything in this world is connected to cancer but them alone will not make you have cancer. Unless it's radiation or something like that.
And skin is a strong barrier. Why anti-aging lotions don't work as well as they talk they would? Because they can't penetrate skin. It's the same thing with almost everything that is put on our skins - the mollecules are too big to transpass skin and its keratin layer and other layers.
Unless that you ingest the carcinogens in EXTREMELY HIGH concentrations (that's the way they test it on animals - giving them the pure substance in EXTREMELY high concentrations - think 100x the quantity on a cosmetic - on a daily basis for several days) , the probability of your cancer may be triggered by a cosmetic is virtually minimal.
It's not like tobacco. Ah, and you'll only have cancer if you have the genetics for it - if you don't , you may smoke for 70 years and not have cancer, or use tons of cosmetics and never have cancer. Or , never smoke and have a lung cancer.
Again: you'll only have cancer if you have the genetics for it