Monster Girls High School Squad offers Plain drag and drop gameplay for dressing up characters. i find the physics can be wonky when dragging items to dress them.
You Tap to select outfits and drag items to place them, physics are tricky.
The controls are clicking to move and drag items to dress characters. The game has drag and drop, physics, and endless outfit options, some behind paywalls.
Most players mix accessories to apply multiple at once for a polished look. Try reloading outfits if the physics mess up your character's posture.
Q1 Controls A: Clicking to move and drag items is the control.
Q2 Objective A: Dress up characters using drag and drop.
Q3 Stated features A: Endless outfit options and paywalls for items.
Q4 Main mechanic A: Drag and drop with physics is the core mechanic.