AA 3588 then BR 643 at O'Hare
Little Rock → Chicago → Anchorage
Timetable, Chicago time
14:23AA 3588 from Little Rock at the gate
11:55BR 643 to Anchorage leaves the gate
21 h 32 apart on the timetable, overnight
BR 643 leaves 21 h 32 after AA 3588 arrives on the timetable: more than half a day, so not a connection we count.