1Having many tasks or appointments; being occupied or very busy, with little free time or spare capacity.
今週は会議が続いていて本当に忙しい。
I've got meetings all week and I'm really busy.
来月は出張が多くて生活が忙しくなる。
I'll be traveling a lot next month, so life will get busy.
子どもが生まれてから、夫婦ともに忙しく過ごしている。
Since the child was born, both husband and wife have been busy.
お忙しいところ、お時間をいただきありがとうございます。
Thank you for taking the time even though you're busy.
2Restless or fidgety — describing someone (or something) that can't stay still, rather than simply having a lot of tasks to do.
彼はいつも体のどこかを動かしていて、忙しい人だ。
He's always moving some part of his body — a restless, fidgety person.
あの子は忙しい性格で、椅子にじっと座っていられない。
That kid is restless by nature and can't sit still in a chair.