This name is a synonym of Lemna valdiviana Phil..
The record derives from WCSP
(data supplied on 2012-03-23)
which reports it as a synonym (record 460200) with original publication details: Bot. Jahrb. Syst. 21: 298 1895.
This name record (from WCSP) 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 Lemna platyclados in version 1 of The Plant List.