Abstract: Pop-up dispensing systems for dispensing substantially dry wipes while minimizing “clumping” and “fallbacks”, or sticking of tacky, adhesive binder loaded wipes within the interior of the container body. The dispensing system includes a container having a container body forming an interior region, and a plurality of stacked substantially dry wipes or other substrates. The wipes may be loaded with an adhesive binder or other material. By selecting and providing particular characteristics relative to the cross-sectional area of the dispensing orifice (e.g., 22 cm2 to 75 cm2) and the separation force profile (e.g., 1 gf/cm2 to 6 gf/cm2), wipes which are loaded with an adhesive, tacky binder material can be dispensed one at a time, while minimizing clumping and fallbacks, and any tendency of the wipes to becoming stuck within the container body.