I want to clean up some wires by wrapping them up.

Is there any tape that doesn't get all gooey like electrical tape does?

eastwood sells a couple of different types of harness wrapping tape

i like to use wire loom, that what i call it i dont know what its really called. But you can get it in any colors. Its just plastic flexible pipe with a slit down the center and you can get it in differnt sizes and just put the wires in it and it looks real clean when its done.

you can get "sticky less" wrap, looks just like black electrical tape except no sticky...the factory uses this type of wire harness wrap.
It's available from www.wiringharness.com
You can get it in 1/2" 3/4" 1" 1-1/4" ( i think)

Thanks guys..Just what I was looking for.

I would use wire loom also just my 2 cents.

If you use wire loom...it comes in 2 flavors.
PLASTIC and NYLON. Between the two, the better one is nylon.
Nylon has a higher temperature resistance and lasts much longer, it wont get brittle and fall apart. The easiest way to tell them apart, the nylon will usually come with a grey stripe down the lenght of the loom. It can be purchased as split loom or non-split. A good source for this is www.terminalsupply.com and/or www.waytekwire.com

you can also got to a bicycle shop and get their non-sticky handle bar wrap lots of colors

Yup use the wire loom tubing stuff Whole lot easier to access wires should a problem arise.
Shane