It means you look at something for only a split second then turn your head away but you turn your head back to whatever it was because you wanna look at it / study it some more. Like a plant, fat person, or hot girl.
"Take you out in a box" is an idiom for "murder" in that you will be carried away in a coffin.
It hits you twice, a double blow or set back.
It is a Caribbean idiom meaning to be mislead and conned into a silly situation.
It means that you "Take a look" or to look at something.
"To be" is not an idiom - it's a verb.
It's not an idiom because it means exactly what it seems to mean. To take offence at something means to be offended or insulted by the something, so "did not take offence" means the opposite.
"Take heart" means to be courageous or hopeful, to think positively
A literal idiom is a phrase or expression that has a straightforward, concrete meaning that is different from its intended or idiomatic meaning. For example, "kick the bucket" is a literal idiom that means to physically kick a bucket, but its idiomatic meaning is to die.
To take the most possible out of the system using it to your absolute advantage.
Pest is not an idiom. It's a word.
It means to take control of something and maybe get it working again or improve a situation.
The idiom "apple shiner" means the teacher's pet.