come back: Or turn around.
Shulammite: The exact location is unknown, but some think it might be Shunem (1 Kings 1:3; 2 Kings 4:11–12). Maid of Shulam (Hebrew shulammith) could be a wordplay on Solomon's name (Hebrew shelomoh). It might mean “Solomon’s maiden.”
as on the dance of Mahanaim?: The man praises the woman's grace and beauty to everyone.