The Time Warp Tea Room on Central is a fun place, Tuesday evening is "bike night" and a crowd of friendly folks riding all kinds of vintage Japanese, European, and American bikes usually show up for sandwiches and tea or soda.
Yep, bikes park on the sidewalk. Best way to get there is to go up Alcoa Highway, then up 275 to the Woodland exit. Go right (east) to Central, then right (south) again, proceed south for a few blocks, they are on the right.
People usually begin showing up between 5 and 6, as you said, right after work.