The origin of the word chopstick
The original character is actually 箸, not 著. The latter is a derivative character of the former, and the former is not used anymore in Mandarin Chinese as a word for 'chopsticks', but is still used in some other Chinese languages.

According to this, chop-chop comes from 速速 (Cantonese cuk1 cuk1), but it's been too long since that word was invented, and since its earliest usage was probably among pidgin communities in Southeast Asia, which is a melting pot of cultures and languages, its true origin is very unlikely to be convincingly determined.