Small aircraft on short interior strips are how Papua's remote communities connect to the outside world, and Lereh Airport (LHI) is one of those strips, so no, there is no lounge here. If you are checking for premium waiting space at this field, the honest answer is that none exists.
What actually defines air travel to a strip like Lereh is Papua's interior airline picture: small operators and missionary-linked carriers, historically including groups flying light aircraft on short strips, connect remote communities where road access is limited or absent. That service model prioritizes reliable point-to-point flying over passenger amenities, which is why a lounge was never part of the picture at Lereh or similar interior fields.
For any real lounge access tied to a Papua trip, the pivot point is Jayapura, the provincial capital, served by Sentani Airport. Even there, keep expectations modest: this is a regional Indonesian airport rather than a major international hub, and any lounge space is more likely a small airline or pay-in facility than a broad card-network location, so check current options directly rather than assuming coverage carries over from Indonesia's bigger airports.
It is also worth checking your government's current travel guidance before a Papua itinerary, since some governments note additional caution for parts of the interior beyond the general advice given for Indonesia overall. That guidance matters more to your planning than any lounge question at a strip like Lereh.
Realistically, treat Lereh as a functional link in an interior travel chain: basic shelter while you wait, a schedule shaped by weather and the operator flying that day, and any comfort-focused planning saved for Jayapura or wherever your itinerary next reaches a larger airport. Build extra flexibility into any onward connection out of Sentani, since interior legs like this one answer to weather and aircraft availability well before they answer to a printed timetable.

