BBC iPlayer has been very successful on Virgin's TV service (which was the first TV platform to support the iPlayer) and at least some of iPlayer's content will also be available via TiVo, obtaining its content via Virgin's VOD service and the Catch-Up enabled EPG.
However, the screen-shot below from the TiVo interface clearly shows an icon for a separate iPlayer application, which was believed to pull content via the dedicated broadband connection.
Today's announcement by the BBC may mean the lack of the IP-based iPlayer App on TiVo, and several other devices:
The move would impact platforms such as Virgin Media and its recently launched TiVo box. There is currently no BBC iPlayer app, instead the assets are made available through the main TiVo interface over DVB-C as opposed to IP. Although Virgin has been working with the BBC for some time there are concerns that the consumer experience may alter as the quality of the IP delivery is not as good as through DVB-C. The existing Liberate/TV Navigator version of the iPlayer was developed between the operator and the BBC.Virgin believe that the BBC "is becoming increasingly prescriptive and inflexible in its dealings", but, from the looks of it, Virgin will have to pay the BBC development and maintenance costs to get the full iPlayer application onto their next-generation PVR.