"Waddies"

In the context of paper mache, "waddies" is not a standard term. The word "wadding" is occasionally used, but not widely, and it refers to the process of using wadded-up paper to build out forms and create dimension, rather than using strips.
Here's what the related term wadding means in paper mache and how the technique is used:

Wadding is the technique of creating a 3D shape by crumpling or wadding up pieces of paper, saturating them with paste, and applying them to a surface.

Artists use wadded paper to build up mass and create textured, sculptural effects before covering the object with traditional paper mache strips or pulp for a smoother finish.