to understand or learn something new, especially after some time
понять или выучить что-то новое, особенно спустя некоторое время (ponyat' ili vyuchit' chto-to novoe, osobenno spustya nekotoroe vremya)
"It took him a few weeks to catch on to the new reporting system."
"Ему понадобилось несколько недель, чтобы понять новую систему отчетности." (Emu ponadobilos' neskol'ko nedel', chtoby ponyat' novuyu sistemy otchetnosti.)
to stop doing something annoying or bad
to be very determined to get or achieve something
to relax after finishing something intense
when water turns into ice due to cold temperature
to visit someone casually and without an appointment
to become successful or popular quickly