Answer:
Has feathers but can't fly. Rests on legs but can't walk.
My first is a creature whose breeding is unclear. My second, a price you must pay. My whole can be found in the river of Time and refers to events of today.
In we go, out we go. All around and in a row. Always, always steady flow. When we'll stop, you'll never known. In we go, out we go.
The older they are the less wrinkles they have.
A certain wizard resided in a city made from this gemstone.
How did the phone propose to his girlfriend on Valentine's Day?