The page that quote comes from is in reference to devices other than TV sets that you can watch a catch up service on. You want a TV to watch the service on, so you need a licence.
Catchup tv on an iPhone - no licence.
Catchup tv on a smart tv - pay up.
I dont agree with that however here is another qoute which states the same thing on another page:
"The law states that you need to be covered by a TV Licence if you watch or record television programmes, on any device, as they're being shown on TV. This includes TVs, computers, mobile phones, games consoles, digital boxes and Blu-ray/DVD/VHS recorders.
You don't need a licence if you don't use any of these devices to watch or record television programmes as they're being shown on TV - for example, if you use your TV only to watch DVDs or play video games, or you only watch ‘catch up’ services like BBC iPlayer or 4oD."
Edited by ibenam at 13:05:34 02-12-2012