You can use PVC tape, or wrap it the other way from stem end to drop end, so the tape is all held by the bar bung. I find the tape tends to lift wrapped in this direction though, so still use a bit of lecky tape.

If water, washing up liquid & a good scrub won't bring it back up clean, its only about £7 for some more brand new tape ...

I accidentally found gt85 got white bar tape clean quite nicely. White is a pretty impractical colour for it though I realised.

Electrical tape works better than those tape strips you get with the bar tape imo.

http://vc-moulin.blogspot.com/2008/10/super-white.html

thanks, not willing to buy new bar tape yet, it's hardly worn at all.
I like the idea of the GT85 solution - maybe that, then a bit of soap.

Baby wipes work well on my Fizik Microtex tape. In fact they are very effective for lots of bike cleaning jobs.

Cif! Works a treat.