I received this reply from the BBC today, 21st Dec.
Reference CAS-1749446-GKCSC5
Thank you for contacting the BBC iPlayer support team.
Please accept our apologies for the delay in replying. We know our correspondents appreciate a quick response and we are sorry you have had to wait on this occasion.
I understand you’re experiencing problems whilst streaming on your iPad as it starts from the beginning after few minutes into the programme.
We’re aware of the issue and can confirm that it is under investigation and would be resolved in the next iOS update. We apologise for the inconvenience that this has caused.
Meantime, uninstall the app and reinstall it and try streaming programmes.
Once again thank you for contacting BBC iPlayer.
Kind Regards
Usha Devi Peri
BBC Audience Services
www.bbc.co.uk/iplayer
Further on the problem of restarts my wife now has an ipad 4 and it seems BBCi Player streamed progs run ok. My ipad 2 still has the problem so fingers crossed the problem will be solved, as the BBC indicate... Mike