To put on lower-body clothing or footwear (e.g. pants, skirts, shoes).
毎朝、靴を履いて出かける。
I put on my shoes and go out every morning.
寒いから厚手の靴下を履いた。
It was cold, so I put on thick socks.
彼女はスカートを上手に履きこなしている。
She wears skirts very stylishly.
新しいスニーカーを履いて長い散歩に出た。
I went for a long walk wearing my new sneakers.
To affix or wear (a sword) at one's waist—an older/formal usage (often written with kanji 佩く or 帯く).
武士は刀を腰に佩いていた。
Samurai wore a sword at their waist.
行列の先頭には冠を帯いている者がいる（古い表現）。
In older expressions, someone at the head of the procession might be said to 'wear' a crown.
Archaic: to affix or string (e.g. to string a bow)—an old usage rarely seen today.
古文では弓に弦を履く（＝張る）という表現が見られる。
In classical texts you can find expressions meaning to 'string' a bow with the verb 履く.