Singapore’s Rare Pipers:
https://mygreenspace.nparks.go...
None of the above appear to have whorled leaves, your plant does appear to have whorls of three leaves.
Verhuellia is a Piperaceae genus of three species, known from very few collections and localities on Cuba and Hispaniola (Haiti and Dominican Republic). It is a small, herbaceous, saxicolous perennial with monopodial architecture, whorled leaves and perianthless flowers organized in solitary lateral spikes (Fig. 1).
http://aob.oxfordjournals.org/...
Peperomia is another huge genus with between 1600 and 1800 species
http://blogs.reading.ac.uk/tro...
I found one which has whorls but it appears to have 4 leaves to a whorl, Peperomia tetraphylla but given the number of species it could be difficult to say which it is. Take note of the venation with a single deep vein either side of the central vein, radiating from the base of the leaf to near the tip. The leaves on your plant don't appear to be succulent.
http://www.mi-aime-a-ou.com/pe...
http://lepidoptera.butterflyho...
