There is a small clinic adjacent to Vila Ombak. They are quite used to treating travellers with minor ailments, including some very dodgy stomach problems, but any visitor with a serious medical issue should get off the Gili Islands as quickly as possible.
contact
There are several internet cafes on Trawangan for feeding your Internet addiction, although connection speeds tend to be painfully slow. Printing is possible in a few internet cafés and you can even hook up your laptop in some. Lightening Fast, just north of the jetty, costs Rp 500 per minute but the supposedly fast service rarely is. Of the restaurants providing wifi, Scallywags is the best bet with a fast, dedicated ADSL service from mainland Lombok.
William's Bookshop, right behind the Art Market on Gili Trawangan, acts as a de facto post office, sells stamps and can mail out your postcards.
cope
There is a cheap and cheerful public laundry service at the back of the Art Market. Laundry is normally returned the next day, and when compared to the prices charged by hotels, this can save you a fair bit of money if you are on the island for anything more than a day or two.