Yep, as long as your diet is decent, it doesn't taste bad at all, and I've found certain things can actually make it taste kind of GOOD, as weird as that might sound. :)
I don't know specifics on what "special" things might need to be done for Cancer, but the first thing I would ask no matter what, is: Are you currently taking any drugs/medications?
If you are, that could possibly cause problems with increasing the amount of urine you consume, as it could in effect be recycling certain elements of those medications, screwing up your dosage.
If you AREN'T on any "drug"-type medication (i.e., just taking herbal remedies and such), then, as far as I know, you should be able to drink generous amounts! At the very least, all of the morning's midstream urine when you first wake up (don't "catch" the beginning or end of the stream). If you are wanting to get "aggressive", then you can take more throughout the day -- or even drink *ALL* of it through the day, and only get rid of the final urination before going to sleep. Even that final release you can save for external application.
There is probably more specific and detailed info out there about UT and Cancer, as it seems to be one of the more popular things to use UT for, and I think I'm gonna look around some and see what I can find... I'll let you know if I find anything interesting, so check back later :)
But for now ... if you're on any medications, approach UT slowly and stay at fairly low amounts until you find more specific info. If you're not on any medications, then you should be fine to drink lots. But you still might want to start off small and gradually increase, so you don't end up having a strong healing crises or initial reaction.