The Retrievers evened their records at 7-7 overall and 1-1 in America East Conference play, while Maine lost for the sixth time in seven outings and fell to 6-10, 1-2.
UMBC extended a 34-26 halftime lead to 11 points at the midpoint of the half, as Proctor's fast break layup gave the hosts a 51-40 advantage with 9:39 remaining. But Socoby keyed a rally as the Black Bears continued to chip away and his follow shot with 4:17 remaining cut the Maine deficit to 57-55.
Proctor would foul Socoby with 45 seconds left and the Maine wing hit both ends of a one-and-one opportunity. UMBC ran the clock down, but senior guard Jay Greene's (Whitehall, Pa.) floater in the lane with 14 seconds left hit the rim and Fry could not control the rebound.
Sophomore forward Rich Flemming (Chester, Pa.) was the only other Retriever in double figures with 11 points and he added seven rebounds in 21 minutes. Greene compiled a season-high 11 assists, posting double figure assists for the 11th time in his career.
UMBC begins a stretch of eight games in 14 days on Wednesday, Jan. 14 when they travel to New Hampshire.