IPA: /əˈmjuːzɪŋli/
KK: /əˈmyuːzɪŋli/
In a way that is funny or entertaining.
The comedian told the story amusingly, making everyone laugh.
Amusingly → It is formed from "amuse" (from Old French *amuser*, meaning to divert or entertain) and "-ly" (a suffix meaning in a manner of). The word "amusingly" means in a manner that entertains or diverts.
Think of the word 'amuse' meaning to entertain, and remember that 'amusingly' describes doing something in an entertaining way.