I have been seeing this problem frequently this week on my Roku 3. I see it once or twice per hour. It had been working fine until recently.
1. The Roku has been rebooted.
2. The Roku is wired so it's not a wireless issue.
3. None of other streaming video apps on the same Roku such as Hulu, Netflix, Amazon, PBS, CBS are exhibiting any problems so it's not a problem with the Roku or the internet connection.
It seems like it's an issue with either your app or your server.
Same thing with my TWC app running on Roku. Started about a week ago for me too. Have tried 2.5G, 5G wireless connections as well as hardwiring the Roku to modem box. As with you the only Roku app having this issue is the TWC app which leads me to believe the problem is with TWC. I also have a converter box for TWC and it is working fine while the Roku App gets the P705 error..... To work around this for now I use the Roku TWC app to get to the guide to select what i want to watch. Then switch to the converter box to watch it so i don't get interpreted by the P705's.
Most of the issues I have seen with the TWCTV app have been related to ad insertion on live TV. Streaming video over the internet is well understood, however substituting commercials into a live broadcast is technically challenging. I don't mean to criticize the engineers who are developing this (in fact I know some of them personally and used to work with them), however as a TWCable customer this is extremely annoying and sometimes has me looking for my shears to cut the cord with. I know that the cable business model depends on local ad sales, but I would gladly pay extra for the option to just not have to watch them, which is what I am doing with Hulu.
I am having the same problem on my Roku box, starting a couple of weeks ago. It's worst on Hallmark Mystery, but it also will skip and repeat and drop sound on MeTV, too. No problem on regular cable box or direct digital into the set, but I prefer to use the TWC app as the picture is better and it has the cable guide, so this is inconvenient.
Rebooting everything does not help.
Getting slammed with the 705 error across two channels right now. TNT and USA are unwatchable. This really is frustrating. Everyone on here needs to call the TWC Roku support line and tell them about this. I've done so already. I'm using the Roku 3 and wired via Ethernet. So this is not just the stick.