I have fished the wensum for carp a couple of times but never caught. However, I saw 2 very large carp (20lb at least!) near to the railings at new mills yard just downstream of Halfords a few days ago. I have also seen some double figure sized commons at wensum park off oak street. THe water is getting quite clear now so if you have a good look round you might spot them.
Tactics wise I would suggest bait up the night before anf fish first light. I would fish overnight though as you'll want to avoid the riff-raff.