UP
Mention in a conversation.
Bring up
Why don't you bring that idea up at the next club meeting?
Get on well with.
Hit (it) off
The two hit it off immediately.
Pay a visit.
Drop in
Drop in whenever you’re in the neighborhood.
Become popular.
Catch on
That new song is beginning to catch on.
Yield (give up) in an argument (with "Down").
Back down
Neither side is willing to back down.
Stablish.
Set up
He set up a restaurant which was a resounding success.
Imitate.
Take off
Susan can take off her teacher brilliantly.
Apply for a job (2 prepositions).
Put in (for)
I'm putting in for a job at the hospital.
Rely on.
Count on
I'm counting on you to solve this problem.
Be understood (an idea etc.) (with "Get").
Get across
If you can get your message across, your accent is good.
Happen unexpectedly.
Crop up
Ben had to go back to work – a problem’s cropped up.
Lose effect (especially a drug).
Wear off
Most patients find that the numbness from the injection wears off after about an hour.
Establish itself (especially weather).
Set in
Infection was setting in.
Become more liked.
Grow on
I wasn't sure about this album when I bought it, but it's really grown on me.
Take revenge (with "Pay").
Pay back
She paid him back for cheating on her by finding a new boyfriend.
Decorate.
Do up
They did up the old apartment and rented it out.
Scold, reprimand.
Tell off
The teacher told us off for swearing.
Be understood completely.
Sink in
She had to repeat her words several times before they finally sank in.
Approach a certain age/number... (2 prepositions).
Get on (for)
It's getting on for six o'clock.
Find the time to do something -2 prepositions- (with "Get").
Get round to
I still haven't got around to fixing that tap.
Delay.
Hold up
We were held up by a traffic jam.
Fall asleep.
Drop off
I was so tired I drop off in the office.
Deceive.
Take in
He was taken in by the fake news.
Inform about a secret.
Let on
If he did know the truth, he didn’t let on.
Gain control of (with "Take").
Take over
The firm was badly in need of restructuring when she took over.