Tanner Samson had 10 points for the Phoenix (11-7, 4-2), which was coming off conference wins over Furman and Western Carolina.
Karl Cochran scored 18 points, Lee Skinner had 13 points and a career-high 14 rebounds, and Spencer Collins scored 14 for the Terriers (7-12, 1-5), who have lost three in a row. Wofford had won the past four games against Elon.
Elon shot 23 of 50 from the field to Wofford's 19 of 51, and was 7 of 21 on 3-pointers to the Terriers' 2 of 11.
Wofford led 29-27 at the half, but Davison tied it at 33 on Sebastian Koch's jumper and grabbed the lead for good at 41-39 on Samson's layup with 13:39 remaining.
After a season that saw his shooting numbers slip, should Nigel Hayes return for his senior year at Wisconsin or take the gamble to put him name in this year's NBA draft?
Isaiah Taylor talks about his decision to declare for the NBA draft and what he will miss most about Texas.
Chattanooga women's basketball coach Jim Foster has received a one-year contract extension, the same day the school gave the men's coach a two-year extension.