It means "Dark Slayer" in Sindarin (from dag- = "slay" and môr = "darkness, dark, night").
Sindarin
dagmor
proper name. ?Slayer of Darkness
Elements
Word Gloss dag- “to slay, to slay, [ᴱN.] kill” môr “dark(ness); †night, dark(ness); †night, [N.] †black”
Dagmor
Dagmor
Beren’s sword, named only in the “The Lay of Leithian Recommenced” from the 1950s (LB/350). The initial element may be a form of dag- “slay” and the second element may be môr “darkness”, hence: “✱Slayer of Darkness” (as suggested by David Salo, GS/360).