https://www.buycarparts.co.uk/honda/jazz-ii-gd/16816/10151/repair-kit-clutch-complete?sort_supplier%5B0%5D=6
I think the B&B clutch is about 20 quid cheaper, but I think I would still go for the LuK. If you want cheap, you might as well fit a National clutch, they are a tenner cheaper still.
It's a strange thing, a factor branded clutch. When you open them up, it's not unusual to find a LuK or Valeo friction plate, whatever the OEM was for the car, and a third party manufactured cover plate and release bearing. There seems to be a limited number of suppliers of the clutch friction for some cars, but it's the other bits that worry me - it's a lot of work to fit parts of unknown origin.
I've fitted borg & beck brake pads and discs on my 2003 jazz, they were very good.
I've fitted a few Borg & Beck bits, and lots of FirstLine bits before that, without any problems... and they are cheap, I think it cost me about £16 for a L&R pair of droplinks for the old Jazz. I fitted one, and no problems so far - but if they are easy to replace if they do fail.
They seem just as good as any other factor parts, and probably far better than the no-name rubbish you find on ebay, but they're not Delphi or Blueprint.