This name is a synonym of Arthrostemma ciliatum Pav. ex D. Don.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 20304754) with original publication details: Fl. Trinidad & Tobago 1(6): 356–357 1934.
This name record (from Tropicos) was not included in version 1 of The Plant List. It is possible the same name was included from a different data source, to check this you can search for Arthrostemma macrodesmum in version 1 of The Plant List.