Lucas Troutman scored 21 points and Austin Hamilton added 20 for Elon, which edged Chattanooga 88-87 on Saturday night.
Jack Isenbarger had 19 points and Ryley Beaumont 15 for the Phoenix (9-9, 4-3 Southern Conference), who were outplayed in many facets of the game but still held on to win.
The Mocs outshot the Phoenix from 3-point range 47.4 percent (9 of 19) to 35.7 percent (10 of 28), from the foul line 78.3 percent (18 of 23) to 66.7 percent (16 of 24) and outrebounded them 42-36.
Elon did force 15 Chattanooga turnovers, though, scoring 22 points off them.
Isenbarger hit two free throws with 7 seconds left to put Elon up 88-85, and the Phoenix held on despite a late layup for Chattanooga.
Omar Wattad had 25 points to lead the Mocs (9-12, 3-5).