to fall into place = if things fall into place in a situation, they happen in a satisfactory way, without problems
We’ve put lots of effort into this project, so I’m sure it will eventually fall into place.
to be going places = to become successful, to succeed, to make progress (especially at work)
I’m sure he has all the makings to be going places.
to be out of place = to be not right or suitable for the situation
I felt so out of place in this posh company.
to be in place = in the right/appropriate position or order; ready for use
I feel comfortable starting the lesson with all the textbooks and visual aids in place.
there’s a time and a place for that = something that you say when someone is behaving in a way which you do not think is suitable for the situation they are in
You shouldn’t have brought up the subject of the divorce in front of the children. There’s a time and a place for that.