Being out of pocket means you aren't where you should be. Often used when people know they cannot be contacted for a period of time.
This isn't an idiom because you can figure out what it means pretty easily. It's an exaggeration - pretending that your money is so eager to leave your pocket that it can burn a hole to get out.
This means that she can't wait to spend the money she has.
It's not an idiom. It's American slang for money, because American paper bills are green (and they fold when you put them in your pocket).
Yes
I wore pens in my pocket, what figure of speech is this?
It means that when someone gets money, they often spend it very quickly, so they don't have it for long.
It is not an idiom, it means your nose is itching.
It's not really an idiom. It means "what are you thinking about."
RFP is not an idiom. It's an abbreviation.
This is an idiom meaning that you are eager to spend the money. The image is of your coins being hot, so that you jerk them out of your pocket and throw them away or spend them.
"Sieve" is not an idiom. See the related link.
It's not an idiom. It means the tip of your nostril.