This from a long time gluer:
Run a 100 or so grit sand paper over the surface you're going to be glueing. You need to open the grain for it to absorb.
I like to say, "brush the cement on and cover the area well. And then with the same brush, wipe it all off. What's left is just enough."
With many clear contact cements, like Duall 88, Master's All Clear, two coats is recommended. The first coat serves well as a primer, which would be very benifical the closer to the belly one works..
Oh, and "shiney IS a good idea, as Art suggests."
I've been told by the industry people, that the problem with puddles of cement, is that air bubbles can be trapped in there, like in bread, and it can work it's way out o the edge.
Too much oil can cause the glue to release also.