Traced back in English to 1836. Originates from the Roman poet who wrote that " tempus fugit" (time flees). In 1835, Shakespeare threw a clock out the window and came up with the saying "time flies" in 1836.
Shakespear Play
confucius...
what is origin of the idioum race against the clock
This is not an idiom that I have ever heard. Perhaps you mean an arm AND a leg, which is an exaggerated way of saying something is really expensive.
someone who was probably at work and was ready to leave and was saying an idiom
The idiom "time flies" means that time seems to pass quickly. It would be possible to compare time to a bird, since birds fly.
The idiom pain in the neck originated in America. This expression was first heard during the early 1900's and is used to express frustration.
someone threw a clock out the window
Andy Warhol - in 1968, he said " "In the future, everyone will be world-famous for 15 minutes."
A chicken is born in spring; a spring chicken is very young, and is associated with the innocent features of youth.
The idiom 'sands of time' refers to the inexorable forward movement of time. It refers directly to the sand running through an hourglass.
It's not an idiom - it means just what it says. Something took "no" time to come about. It's an exaggeration, but the meaning is plain.