To begin to understand something.
Начать понимать что-то. (nachat' ponjat' chto-to)
"It took him a while to catch on to the new rules."
"Ему потребовалось время, чтобы понять новые правила." (jemu potrebovalos' vremja, chtoby ponyat' novye pravila)
having traditional beliefs or methods
To be in a situation that is too difficult to understand or...
to be extremely surprised or shocked
to have romantic feelings for someone, often secretly
to not lose confidence or courage
to punish someone to warn others