The Mocs (14-15, 6-10 Southern Conference) trailed 35-32 at halftime, and shot 52 percent from the field in the second half (26 of 56), including 5 of 10 from 3-point range.
Chattanooga outscored the Wildcats 8-3 after halftime, taking its first lead since 6:56 left in the first half, 40-38, on Keegan Bell's 3 with 17:24 to play.
Davidson (14-14, 9-7) would lead again, 52-50 with 10:03 remaining, but the Mocs scored 11 straight. Jeremy Saffore's layup put Chattanooga up 61-52 with 6:38 left, and the Wildcats wouldn't get any closer than six points the rest of the way.
Jake Cohen scored 16 points and Brendon McKillop added 15 for the Wildcats.
Davidson shot 35.1 percent in the second half (13 of 37).
2020-21 men's college basketball preview -- Preseason picks, rankings, complete coverage
The countdown to the 2020-21 college basketball season has begun. Your preparation begins right here.
Mid-majors 2020-21 predictions: Gonzaga transcends labels, can win title
As the countdown to the 2020-21 college basketball season continues, ESPN's predictions series focuses on the top leagues beyond ... the top leagues.
Why the term 'Power 5' should actually be 'Power 6' when it comes to men's college basketball
John Gasaway breaks down the characteristics that may define a major conference in basketball -- and explains why terminology we use for football shouldn't apply to basketball.