Yes, I mentioned Telkom speedy in my post on the expat forum regarding internet. This has been available for some time in Lombok, and is available in Mataram, Senggigi and a number of other places. You need a landline with a particular prefix (I don't have the details with me, but the Telkom office can tell you). There are issues if you have an old phone line, or one that is subject to interruptions (such as bamboo and trees knocking it around, or if it is strung a long way from the road via bamboo poles and tree branches as if quite often the case).
I know a couple of people and business using this service and they are quite happy with it.