While I can't say for certain that it will on the Note 3, I had the same combination (UAG & Glas Tr) on my S4 and it worked perfectly. I currently have the Spigen Slim Armor and just received the UAG two days ago. I have used both of these cases on previous phones and they are my favorites by a long shot. They both are of high quality and the fit, finish and feel are great in my opinion. There are some minor differences between the two. The Spigen has a glossy finish while the UAG has a matte finish. It seems as though the Spigen adds more weight to the phone while the UAG is barely noticeable in terms of added weight. The UAG has textured TPU along the sides for added grip and it does help while the Spigen does not. The buttons of the phone are covered with both cases but work very well and have a good feel to them. One last point to mention, the Spigen has all the proper cut outs for ports, mics, speaker S pen, camera, flash and charger. The UAG on the other hand did not have a cut out for the third mic that is located along the lower edge of the Note 3 near the S pen. I was a little disappointed that they missed that. I was able to add the opening myself although I should not have had to. Bottom line, they are very good cases and I like them both but generally prefer the UAG mainly due to the textured grip on the sides and it is lighter in feel.
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