Cleaning off PVC cement

One issue I have come across in making the ROV look especially pretty is excess PVC cement. It is a pain to remove, doesn't paint over well (in yellow at least) and runs everywhere when liquid. I know there are some PVC cements available that are a little more friendly to work with - but I don't currently have them.
One quick method I have come across (though experimentation) was using a wire brush attachment on a dremel like tool - it removes the PVC cement rather quickly - though it does expose a rather interesting property of the cement. When bonding the cement eats into the PVC. When the cement is removed it leaves small pits/valleys where it has eaten into the PVC. Following this up with some sanding before painting is highly recommended.