It cuts like Kevlar albeit not quite as difficult. 

You don't see that many twill format narrow tapes as a plain weave is much easier to manufacture.  Many of the twill formats are woven as a braid, be it flat or tubular.

Warren Penalver
Easy Composites / Carbon Mods - Technical Support Assistant

I can see several options on google?

Warren Penalver
Easy Composites / Carbon Mods - Technical Support Assistant

You can likely just use a bandsaw although the cut would be a little rough compared to a proper slitting maching.

They are on the market just not a product we ourselves stock. 

Warren Penalver
Easy Composites / Carbon Mods - Technical Support Assistant

width ways, with the roll and everything
I wish there was Diolen tapes, like the kevlar ones...

Are you talking across the roll or cutting it width ways?  Just use shears normally.  To cut it on the roll would probably be difficult to do without some kind of slitting machine that can roll off the roll, cut and roll back on to another roll.  Its not a service we offer. 

Warren Penalver
Easy Composites / Carbon Mods - Technical Support Assistant

What are the ways to cut a roll of fabric? (diolen)
I want to pre cut it to strips so save time

Is there a cheap way to do so?
Also, do Easy composites offer this kind of service?