cotton on
US /ˈkɑːt.ən ɑːn/
UK /ˈkɑːt.ən ɑːn/

1.
entender, darse cuenta
to understand something after a period of not understanding it
:
•
It took him a while to cotton on to what I was saying.
Le tomó un tiempo entender lo que estaba diciendo.
•
She finally cottoned on to the joke.
Finalmente entendió el chiste.