Compton and Day were at 13 under, a shot ahead of Justin Rose, Blayne Barber, Jerry Kelly and David Hearn at TPC Louisiana when play was suspended because of darkness.
Compton finished six holes, and Day played three. Before rain halted play at 12:14 p.m., Day finished off a 7-under 65 to take the second-round lead.
A strong storm moved that moved through the area downed at least one tree and toppled tables. Play resumed at 5:57 p.m. and was suspended for the day at 7:32 p.m.
PGA Tour officials said play is scheduled to resume at 7:30 a.m. Sunday. The players will not be repaired for the final round.
